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DTSTART:20250330T030000
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DTSTAMP:20260424T125204Z
UID:648ae475195b3341402767@ist.ac.at
DTSTART:20241128T130000
DTEND:20241128T150000
DESCRIPTION:Speaker: Anton Mellit\nhosted by Tamas Hausel\nAbstract: We con
 sider graphs were each vertex is labeled by a number called genus. Such gr
 aphs appear in the classification of plumbed 3-manfolds and certain comple
 x surfaces by Walter Neumann. To such a graph we associate two moduli spac
 es: Betti moduli space and Dolbeault moduli space. In the case of zero gen
 us we obtain the multiplicative quiver variety as the Betti space.In the c
 ase of a graph with single vertex of genus g and no loops we obtain the us
 ual Betti and Dolbeault moduli spaces associated to a Riemann surface\, st
 udied by many people. I will explain how the moduli spaces associated to s
 tar-shaped graphs produce parabolic versions of these.Then I will formulat
 e an analogue of the Hausel-Letellier-Rodriguez-Villegas formula for these
  spaces. I will explain a motivation behind this formula\, as well as the 
 TQFT-like structure behind it. This formula will conjecturally compute cer
 tain refined Poincare polynomials of these spaces for arbitrary graphs and
  genera. Besides the original HLRV-conjecture (still open)\, I expect that
  my conjecture implies the Cherednik-Danilenko's conjecture about superpol
 ynomials of cables of torus links. I hope to explain this in the very end.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Anton Mellit: Moduli spaces for nodal Riemann surfaces
URL:https://talks-calendar.ista.ac.at/events/5247
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