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DTSTART:20240331T030000
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BEGIN:VEVENT
DTSTAMP:20260405T192517Z
UID:648ae475140fc941027991@ist.ac.at
DTSTART:20241010T130000
DTEND:20241010T150000
DESCRIPTION:Speaker: Sun Woo Park\nhosted by Tim Browning\nAbstract: Let $K
  = \\mathbb{F}_q(t)$ be the global function field of characteristic coprim
 e to $2$ and $3$. Let $E$ be a non-isotrivial elliptic curve over $K$. Fix
  a prime number $l$ such that the primitive $l$-th roots of unity $\\mu_l$
  is contained in $\\mathbb{F}_q$. Let $L$ be a $\\mathbb{Z}/l\\mathbb{Z}$ 
 geometric Galois extension over $K$. We will focus on utilizing the Grothe
 ndieck-Lefschetz trace formula to compute a lower bound on the probability
  that the rank of $E(L)$ is equal to the rank of $E(K)$. If time allows\, 
 we will also explore how one can combine a probabilistic approach to obtai
 n new geometric insights on the cohomology groups of some Hurwitz spaces.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Sun Woo Park: On Selmer groups of cyclic twist families of elliptic
  curves over global function fields
URL:https://talks-calendar.ista.ac.at/events/5199
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