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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20260329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20261025T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:1784038500@ist.ac.at
DTSTART:20260714T161500
DTEND:20260714T180000
DESCRIPTION:Speaker: Lihan Wang\nhosted by Giovanni Brigati\nAbstract: Abst
 ract: In this talk\, we discuss the long-time behavior of three most comm
 only used piecewise deterministic samplers\, namely Randomized Hamiltonian
  Monte Carlo (RHMC)\, Zigzag process (ZZP) and Bouncy Particle Sampler (BP
 S). All of these\, alongside kinetic Langevin dynamics\, are second-order 
 lifts of the overdamped Langevin dynamics. The kinetic samplers are advant
 ageous due to its potentially accelerated long-time convergence rates and 
 high accuracy in numerical implementation. We discuss the long-time behavi
 or of these samplers\, in both L^2 energy and relative entropy\, and showc
 ase the difference between these dynamics\, as well as the difference betw
 een L^2 energy and entropy\, explaining why the convergence results in ent
 ropy cannot be generalized to entropy. Joint works with Jianfeng Lu (Duke)
  and Pierre Monmarché (U Gustave Eiffel).
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:Birgit.Oosthuizen-Noczil@ist.ac.at
SUMMARY:Lihan Wang: Long-time behavior of piecewise deterministic samplers:
  from energy to entropy\, convergence and non-convergence
URL:https://talks-calendar.ista.ac.at/events/6545
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a621a7000aa7530372093@ist.ac.at
DTSTART:20260805T110000
DTEND:20260805T120000
DESCRIPTION:Speaker: Christina Henzinger\nhosted by Hryhoriy Polshyn\nAbstr
 act: Exchange statistics are a fundamental principle of quantum mechanics\
 , dictating the symmetry of identical particle wavefunctions. The exchange
 -induced unitary transformation of anyonic wavefunctions can be probed usi
 ng electronic fractional quantum Hall (FQH) interferometers\, where quasip
 articles on the interfering FQH edge braid with those localized within the
  cavity. Here\, we add a gate-controlled dot/anti-dot in the center of a b
 ilayer graphene FQH interferometer to tune the number of enclosed anyons. 
 We observe hundreds of controlled phase slips in the conductance across th
 e interferometer for both abelian and non-abelian states\, consistent with
  discrete changes in the localized quasiparticle population. For abelian a
 nyons\, the observed phase slips agree with the theoretically expected val
 ue. At half filling\, our results suggest the interfering edge carries cha
 rge |e/e| = 1/2 abelian excitations\, whereas charge |e/e| = 1/4 putative 
 non-abelian anyons remain localized in the interferometer cavity. Controll
 ing the population of localized e/4 anyons in an interferometer marks a si
 gnificant milestone towards observing their non-local exchange statistics 
 and building a fault tolerant topological qubit based on non-abelian anyon
  manipulation.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:hpolshyn@ist.ac.at
SUMMARY:Christina Henzinger: Controlled localization of anyons in a graphen
 e quantum Hall interferometer
URL:https://talks-calendar.ista.ac.at/events/6571
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:1786629600@ist.ac.at
DTSTART:20260813T160000
DTEND:20260813T170000
DESCRIPTION:Speaker: Klemens Rottner\nhosted by Florian Schur\nAbstract: Ce
 ll migration and proliferation as well as communication and trafficking\, 
 all depend on the fine-tuned and continuous remodeling of actin filaments\
 , which are nucleated and elongated by addition of monomers\, regulated in
  turn by several monomer-binding factors. The most prominent of those cert
 ainly constitute profilin 1\, the largely ubiquitous family member in mamm
 als\, and profilin 2 more enriched in the nervous system. Profilins are we
 ll established as both inhibiting spontaneous actin filament nucleation an
 d promoting formin-dependent actin filament elongation\, but their precise
  cell biological roles are less clear.In this seminar\, I will provide evi
 dence establishing that the presence of any profilin is obligatory for cel
 l growth in both mammals and amoeba\, although minute amounts of the prote
 in are sufficient for mediating migration and actin turnover. I will also 
 show that aside from being essential for formin-dependent filopodia and mi
 crospike formation\, profilin is also crucial for Arp2/3 complex-dependent
  processes. Mathematical modeling reveals how this can be explained. Our d
 ata thus also refute previous suggestions of antagonistic connections betw
 een profilin and Arp2/3 complex. Instead\, profilin emerges as master regu
 lator of both formin- and Arp2/3 complex-dependent actin assembly pathways
  operating directly and indirectly\, respectively.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:
SUMMARY:Klemens Rottner: Defining profilin function in mammalian actin dyna
 mics and cell behaviour 
URL:https://talks-calendar.ista.ac.at/events/6583
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a85953fddda5101667480@ist.ac.at
DTSTART:20260824T140000
DTEND:20260824T150000
DESCRIPTION:Speaker: Farzan Farnia\nhosted by Marco Mondelli\nAbstract: Dee
 p generative models have achieved remarkable success by learning to imitat
 e complex data distributions\, yet distributional fidelity alone does not 
 explicitly promote properties such as diversity\, novelty\, or imagination
 . In this talk\, I will explore how entropy can provide a principled way t
 o extend the conventional objective of generative modeling beyond imitatio
 n. Utilizing pretrained neural network representations\, we introduce a sp
 ectral notion of entropy that captures semantic diversity through the eige
 nvalues of a kernel covariance operator. I will discuss that the concavity
  of this entropy has two important consequences. First\, finite samples sy
 stematically underestimate the entropy of the underlying population\, moti
 vating our study of whether this diversity loss persists in trained genera
 tive models. Our experiments then reveal a consistent entropy gap between 
 standard generative models and their training distributions. Second\, conc
 avity makes entropy superlevel sets convex\, allowing us to show that proj
 ecting a low-diversity model onto a sufficiently high-entropy set can move
  it closer to the true data distribution. Building on these insights\, I w
 ill introduce Imaginative Generative AI (IGA)\, an entropy-regularized fra
 mework that provides a path from diversity correction to deliberate extrap
 olation\, with the entropy of the data defining an Entropy Wall that separ
 ates faithful imitation from the generation of more diverse worlds beyond 
 the observed distribution.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:swiddman@ist.ac.at
SUMMARY:Farzan Farnia: Entropy in Generative AI Models: From Imitation to I
 magination
URL:https://talks-calendar.ista.ac.at/events/6592
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a6718ef86935830306549@ist.ac.at
DTSTART:20260903T134500
DTEND:20260903T150000
DESCRIPTION:Speaker: Eduardo Fernández Ortuño\nhosted by Lora Sweeney\nAb
 stract: The phenomenal size and cellular diversity of the human cerebral c
 ortex is the outcome of an elaborate developmental program sculpted by evo
 lutionary forces during millions of years. This evolution involved changes
  in neural progenitor cells\, which compared to reptiles and birds acquire
 d the capacity to generate larger numbers of neurons and in greater divers
 ity. Genetic causes of increased progenitor cell proliferation during evol
 ution have been identified\, but mechanisms involved in the diversificatio
 n of neural progenitor cells remain unknown. To address this question\, we
  performed the first integrated\, multi-level\, comparative study of neura
 l progenitor cells and lineages in the embryonic cortex across amniotes. T
 he analysis was focused on four strategic species that cover the spectrum 
 of cortical phenotypes: house snake\, chick\, mouse and ferret. Our result
 s revealed an unsuspected diversity of basal progenitor cell types in chic
 k\, superior to mouse and with similarities to the more complex ferret cor
 tex. Chick dorsal pallial progenitors included subapical and basal Radial 
 Glia\, and co-expressed Pax6 and Tbr2\, similar to ferret but unlike mouse
 \, where these are largely absent. Our findings challenge current concepts
  on the evolutionary trajectory of the cerebral cortex\, revealing a very 
 early diversification of cortical progenitor cell types in amniotes that p
 redated the last common ancestor of mammals and birds.
LOCATION:Sunstone Bldg / Ground floor / Big Seminar Room B / 63 seats (I23.
 EG.102)\, ISTA
ORGANIZER:jgazsi@ist.ac.at
SUMMARY:Eduardo Fernández Ortuño: Don't Put All Your Eggs in the Neocorte
 x: How the small chick dorsal pallium challenges mammalian-centric views o
 n brain cortex evolution
URL:https://talks-calendar.ista.ac.at/events/6573
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:1789635600@ist.ac.at
DTSTART:20260917T110000
DTEND:20260917T120000
DESCRIPTION:Speaker: Krishna Shrinivas\nhosted by Carl Goodrich\nAbstract: 
 Living cells perform remarkable functions that are powered through biomole
 cular networks that interact and react in crowded cellular environments. M
 any biomolecules are highly dynamic\, fluctuating among diverse conformati
 onal ensembles and spatially self-organizing through phase transitions. Ho
 w can cells harness the physics of these dynamic assemblies to sense\, com
 pute\, and respond to their environment? Using design as a lens\, I will e
 xplore how physical principles connect molecular-scale dynamics and self-o
 rganization to enable and constrain biomolecular information processing.
LOCATION:Ballroom / Central Bldg / O1\, ISTA
ORGANIZER:caroline.ernst-petz@ista.ac.at
SUMMARY:Krishna Shrinivas: Cellular computations and decision-making by dyn
 amic biomolecular ensembles
URL:https://talks-calendar.ista.ac.at/events/6607
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a1e9cbf72e58407814214@ist.ac.at
DTSTART:20260922T150000
DTEND:20260922T160000
DESCRIPTION:Speaker: Domenico Cafiero\nhosted by Robert Seiringer\nAbstract
 : Anyons are 2d identical quantum particles with an intermediate exchange 
 symmetry characterized by representations of the braid group. In the abeli
 an case\, they can be modelled through the so-called magnetic representati
 on\, namely as a system of bosons with an Aharonov-Bohm flux attached to e
 ach particle.In this talk\, I will discuss the construction of self-adjoin
 t Hamiltonians\, different from the Friedrichs realization\, for a system 
 of three abelian anyons. I will focus in particular on the Ter-Martirosyan
 -Skornyakov extensions. This family of Hamiltonians turns out to be parame
 trized by a suitable boundary operator\; I will present a complete classif
 ication of its self-adjoint realizations and compute the negative spectrum
  for the specific case of interest. These results shed light on the possib
 le occurrence of Thomas instability in the three-anyon model. Joint work w
 ith Michele Correggi (PoliMi) and Davide Fermi (PoliMi).
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Domenico Cafiero: On the three-body Hamiltonian for abelian anyons
URL:https://talks-calendar.ista.ac.at/events/6566
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a8ec4a176df3637528802@ist.ac.at
DTSTART:20260923T130000
DTEND:20260923T140000
DESCRIPTION:Speaker: Fabian Gundlach\nhosted by Tim  Browning\nAbstract: We
  give asymptotics for the total number of interlaced simultaneous ordered 
 factorizations of integers n_1 <= X_1 and n_2 <= X_2. The answer is surpri
 sing.
LOCATION:Central Bldg / O1 / Mondi 4 (01.01.011 (Mondi4 is next to Mondi Th
 ree))\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Fabian Gundlach: Counting interlaced factorizations
URL:https://talks-calendar.ista.ac.at/events/6639
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6aa7cc7f86cf5144155787@ist.ac.at
DTSTART:20260924T140000
DTEND:20260924T150000
DESCRIPTION:Speaker: Pavel Arkhipov\nAbstract: Continual counting under pur
 e differential privacy is one of the simplest and most well-studied proble
 ms in the continual observation model. Given a binary stream $x_1\, \\ldot
 s\, x_n \\in \\{0\,1\\}$\, the goal is to release\, at each time $t$\, an 
 approximation to the prefix sum $\\sum_{i=1}^t x_i$. The entire output seq
 uence must satisfy $\\epsilon$-differential privacy\, while making the acc
 uracy as good as possible. We consider the maximum expected squared error 
 over all times $t$ as our accuracy score. Very recently\, it was shown tha
 t the correct asymptotics for this error is $\\Theta(\\epsilon^{-2} \\log^
 3 n)$ for factorization-based mechanisms.We give a construction using a ge
 neral matrix factorization mechanism\, improving the leading constant for 
 the mean squared error. The mechanism starts from a good-quality low-dimen
 sional factorization and lifts this factorization to arbitrarily large dim
 ensions.On the lower-bound side\, we show a very simple $\\Omega(\\epsilon
 ^{-2}\\log^3 n)$ lower bound for the special case of factorizations whose 
 matrices have entries in {0\, 1}.This talk covers a subset of our paper wi
 th Nikita Kalinin (https://arxiv.org/abs/2607.08963)
LOCATION:Mondi Seminar Room 3\, Central Building\, ISTA
ORGANIZER:joanders@ist.ac.at
SUMMARY:Pavel Arkhipov: TCS Seminar - Differentially Private Continual Coun
 ting via Matrix Factorization: Constructions and Lower Bounds
URL:https://talks-calendar.ista.ac.at/events/6619
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6aab9d24089c1483964014@ist.ac.at
DTSTART:20260930T160000
DTEND:20260930T170000
DESCRIPTION:Speaker: Wun Kwan Yam\nhosted by Johannes Fink\nAbstract: Quant
 um communication in the microwave frequency regime is set to play an impor
 tant role in distributed quantum computing and hybrid quantum networks. In
  a step towards practical quantum networks\, we demonstrate quantum telepo
 rtation of coherent states over a thermal quantum network composed of two 
 spatially-separated dilution refrigerators\, operating at channel temperat
 ures up to 4 K. Furthermore\, we investigate a quantum secret sharing prot
 ocol in a tripartite superconducting network\, reconstructing microwave co
 herent states with fidelities above the no-cloning threshold and realizing
  unconditionally secure communication. We explore inherent connections bet
 ween quantum secret sharing and other important quantum information proces
 sing tasks\, such as quantum dense coding and elementary quantum error cor
 rection of channel erasures. Our results show the experimental feasibility
  of distributed superconducting architectures and motivate further investi
 gations of practical quantum networks in various frequency regimes.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:sandra.widdmann@ist.ac.at
SUMMARY:Wun Kwan Yam: Microwave quantum communication in superconducting ne
 tworks
URL:https://talks-calendar.ista.ac.at/events/6665
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:1790928000@ist.ac.at
DTSTART:20261002T100000
DTEND:20261002T110000
DESCRIPTION:Speaker: Elisa De Ranieri\nhosted by Charles Roques-Carmes\nAbs
 tract: Ever wondered how high-impact journals select content for publicati
 on and how peer review works? In this talk\, I will discuss the editorial 
 process at these journals\, which typically rely on professional editors\,
  focusing in particular on the Cell Press portfolio and introducing Newto
 n\, our flagship physics journal. I will also share my views on current tr
 ends in scientific publishing\, and provide tips on how to maximise the fi
 t of your manuscript for high-impact journals and on how to deliver an app
 ropriate reviewer report if you are invited to review a manuscript.  Eli
 sa De Ranieri\, Editor-in-Chief\, NewtonElisa obtained her PhD in physics
  from the University of Cambridge and worked as a research scientist at th
 e Hitachi Cambridge Laboratory. Her experimental work on semiconductor spi
 ntronics included the design\, fabrication\, and characterization of devic
 es by magneto-transport and magneto-optical measurements. Elisa joined Cel
 l Press in 2021 as Head of Author Experience and Research Integrity after 
 acquiring extensive editorial and publishing experience at the Nature port
 folio\, working amongst other roles as an editor for Nature Nanotechnolog
 y\, Nature Energy\, and as Editor-in-chief for Nature Communications. In
  2023-24 she was the Director of Author Experience for Cell Press\, and be
 came the founding Editor-in-chief of Newton in 2024.
LOCATION:Heinzel Seminar Room\, ISTA
ORGANIZER:omerhalil.unal@ista.ac.at
SUMMARY:Elisa De Ranieri: Publishing in influential journals
URL:https://talks-calendar.ista.ac.at/events/6610
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a35020e9b607174372145@ist.ac.at
DTSTART:20261007T130000
DTEND:20261007T140000
DESCRIPTION:Speaker: Jonathan Bober\nhosted by Tim  Browning\nAbstract: The
  Z-function associated to an L-function is a rotated real-valued function 
 defined so that |Z(t)| = |L(1/2 + it)|\, so that critical zeros of L(s) ar
 e real zeros\, and presumably sign changes\, of Z(t). For the zeta functio
 n\, the integral of Z(t) is well-understood. I'll discuss the integral for
  (mostly) Dirichlet L-functions\, and some phenomena in the spacings of ze
 ros of zeta and L-functions discovered along the way. These phenomena seem
  to be governed by the vanishing/non-vanishing of certain Gauss-type sums.
 This is joint work with Zhenchao Ge and Micah Milinovich.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Jonathan Bober: Integrals of Z-functions
URL:https://talks-calendar.ista.ac.at/events/6654
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:1792065600@ist.ac.at
DTSTART:20261015T140000
DTEND:20261015T150000
DESCRIPTION:Speaker: Sylvain Gigan\nhosted by Charles Roques-Carmes\nAbstra
 ct: Multiple scattering of light in a disordered medium is usually seen as
  a nuisance to be corrected\, for instance in imaging. Yet a scattering me
 dium is also an extremely rich physical system: it mixes an enormous numbe
 r of optical modes in a fixed\, deterministic way\, and can therefore act 
 as a very large random matrix multiplier for information encoded on the li
 ght field. In this talk\, I will show how this property can be harnessed t
 o perform computations at scale\, with applications ranging from random pr
 ojections for machine learning and optical reservoir computing to the acce
 leration of large-scale inference. Linear scattering alone\, however\, is 
 not sufficient: non-linearity is the key ingredient of any expressive neur
 al computation. I will discuss several strategies to introduce non-lineari
 ty into scattering-based optical processors\, from the non-linearity of in
 tensity detection and data re-encoding\, to recurrent linear scattering\, 
 to genuinely non-linear disordered materials. I will conclude with perspec
 tives on how such physical systems can be trained\, and what they could of
 fer in terms of energy efficiency and scalability. Sylvain Gigan has been
  a Professor of Physics at Sorbonne Université since 2014. He conducts hi
 s research at the Kastler Brossel Laboratory (Physics Department of the É
 cole Normale Supérieure)\, where he leads a research group dedicated to p
 hotonics and complex media.After earning his PhD in quantum optics at UPMC
  in 2004 under the supervision of Claude Fabre \, he joined the University
  of Vienna (Austria) as a postdoctoral researcher in the group of Markus A
 spelmeyer and Anton Zeilinger\, working on quantum optomechanics. From 200
 7 to 2014\, he was an Associate Professor at the Langevin Institute (ESPCI
  ParisTech)\, where he pioneered his research on controlling light in comp
 lex media. His current work focuses on wave propagation in highly scatteri
 ng media. Historically centered on deep imaging and mesoscopic physics\, h
 is research has now expanded to harnessing optical disorder for high-dimen
 sional quantum information and optical computing (hardware acceleration fo
 r artificial intelligence). In 2016\, his fundamental research led to the 
 co-founding of the spin-off LightOn.
LOCATION:Heinzel Seminar Room\, ISTA
ORGANIZER:omerhalil.unal@ista.ac.at
SUMMARY:Sylvain Gigan: Non-linear optical processing with random media
URL:https://talks-calendar.ista.ac.at/events/6690
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a1e9cbf7410b628841470@ist.ac.at
DTSTART:20261020T150000
DTEND:20261020T170000
DESCRIPTION:Speaker: David Spitzkopf\nhosted by Robert Seiringer\nAbstract:
  Soft quantum waveguides are quantum mechanical systems in which aparticle
  is confined by an attractive potential in the vicinity of a curve\,rather
  than by a hard boundary or singular interaction. I will discuss twogeomet
 ric perturbations of such systems. The first concerns an array ofpotential
  wells in dimensions two and higher\, where the axial symmetry isdiscrete.
  Shifting finitely many wells along the axis\, even a single one and byan 
 arbitrarily small amount\, produces a bound state below the essentialspect
 rum. The second concerns a twisted soft waveguide in three dimensions\,for
  which I will present a Hardy inequality. It shows that the Hamiltonian is
 subcritical\, so that weak attractive perturbations do not bind.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:David Spitzkopf: Geometric perturbations of soft quantum waveguides
URL:https://talks-calendar.ista.ac.at/events/6668
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:6a35020e9b79b600190016@ist.ac.at
DTSTART:20261021T130000
DTEND:20261021T140000
DESCRIPTION:Speaker: Vladimir Mitankin\nhosted by Tim  Browning\nAbstract: 
 In this talk I will explain a new method for counting instances of the Bra
 uer-Manin obstruction (BMO) to the Hasse principle (HP) in families\, wher
 e no uniform description of Brauer elements across the family is available
 . The method consists of three novel ingredients\, whose common goal is to
  produce an asymptotic formula for the number of BMOs to HP in the family\
 , ordered with respect to a natural height function. This talk is based on
  several works in progress with Leo Schfer\, Damaris Schindler and Florian
  Wilsch and with Alexandros Konstantinou\, Margherita Pagano and Harry Cra
 wford Shaw.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Vladimir Mitankin: Failures of the Hasse principle in families
URL:https://talks-calendar.ista.ac.at/events/6692
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20261012T171724Z
UID:1794398400@ist.ac.at
DTSTART:20261111T130000
DTEND:20261111T140000
DESCRIPTION:Speaker: Katy Woo\nhosted by Vivian Kuperberg\nAbstract: There 
 is a long-standing history of using prime counting results to prove new th
 eorems about arithmetic objects\; Dirichlet’s theorem on primes in arith
 metic progressions was a key input in Hasse’s original proof of the loca
 l-to-global principle for quadratic forms over Q. In Corollary X.6.2.1 of 
 Silverman’s “The Arithmetic of Elliptic Curves”\, any elliptic curve
  of the form y^2 = x^3 + px for p a prime number congruent to 7 mod 16 is 
 shown to have rank zero\; Dirichlet’s theorem can be applied to show tha
 t there are infinitely many such elliptic curves. The breakthrough work of
  Green\, Tao\, and Ziegler on simultaneously prime values of linear system
 s was applied both to study Brauer-Manin obstructions to local-to-global p
 rinciples for certain conic bundles and to construct families of elliptic 
 curves with rank 1.In this talk\, we will build on the seminal work of Gre
 en and Sawhney to prove new instances of the multivariate Bateman-Horn con
 jecture\; the key input will be methods from additive combinatorics. We wi
 ll then discuss how to use these new prime counting results to study the B
 rauer-Manin obstruction to local-to-global principles for an expanded clas
 s of conic bundles and construct quadratic twist families of elliptic curv
 es with rank 2.This talk is based on joint work with Niven Achenjang.
LOCATION:Mondi 2\, Central Building\, ISTA
ORGANIZER:
SUMMARY:Katy Woo: Arithmetic consequences of additive combinatorics
URL:https://talks-calendar.ista.ac.at/events/6675
END:VEVENT
END:VCALENDAR
