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SUMMARY:Margarida Melo (Roma Tre)
DTSTART:20210629T090000Z
DTEND:20210629T094500Z
DTSTAMP:20260422T212710Z
UID:SMSMS-2021/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SMSMS-2021/1
 /">On the top weight cohomology of the moduli space of abelian varieties</
 a>\nby Margarida Melo (Roma Tre) as part of SMSMS 2021 (School on Mirror S
 ymmetry and Moduli Spaces)\n\n\nAbstract\nIn the last few years\, tropical
  methods have been applied quite successfully in understanding several asp
 ects of the geometry of classical algebro-geometric moduli spaces. In part
 icular\, in several situations the combinatorics behind compactifications 
 of moduli spaces have been given a tropical modular interpretation. Conseq
 uently\, one can study different properties of these (compactified) spaces
  by studying their tropical counterparts.\n\nIn this talk\, which is based
  in joint work with Madeleine Brandt\, Juliette Bruce\, Melody Chan\, Gwyn
 eth Moreland and Corey Wolfe\, I will illustrate this phenomena for the mo
 duli space Ag of abelian varities of dimension g. In particular\, I will s
 how how to apply the tropical understanding of the classical toroidal comp
 actifications of Ag to compute\, for small values of g\, the top weight co
 homology of Ag.\n\nThe techniques we use follow the breakthrough results a
 nd techniques recently developed by Chan-Galatius-Payne in understanding t
 he topology of the moduli space of curves via tropical geometry.\n
LOCATION:https://researchseminars.org/talk/SMSMS-2021/1/
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BEGIN:VEVENT
SUMMARY:Nick Sheridan (Edimburgh)
DTSTART:20210629T100000Z
DTEND:20210629T104500Z
DTSTAMP:20260422T212710Z
UID:SMSMS-2021/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SMSMS-2021/2
 /">The Gamma and SYZ conjectures</a>\nby Nick Sheridan (Edimburgh) as part
  of SMSMS 2021 (School on Mirror Symmetry and Moduli Spaces)\n\n\nAbstract
 \nI will give some background on the Gamma Conjecture\, which says that mi
 rror symmetry does *not* respect integral cycles: rather\, the integral cy
 cles on a complex manifold correspond to integral cycles on the symplectic
  mirror\, multiplied by a certain transcendental characteristic class call
 ed the Gamma class. In the second part of the talk I will explain a new ge
 ometric approach to the Gamma Conjecture\, which is based on the SYZ viewp
 oint on mirror symmetry. We find that the appearance of zeta(k) in the asy
 mptotics of period integrals arises from the codimension-k singular locus 
 of the SYZ fibration.\n\nThis is based on joint work with Abouzaid\, Ganat
 ra\, and Iritani.\n
LOCATION:https://researchseminars.org/talk/SMSMS-2021/2/
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BEGIN:VEVENT
SUMMARY:Du Pei (Harvard)
DTSTART:20210630T130000Z
DTEND:20210630T134500Z
DTSTAMP:20260422T212710Z
UID:SMSMS-2021/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SMSMS-2021/3
 /">Verlinde Formula\, Brane Quantization\, and Mirror Symmetry</a>\nby Du 
 Pei (Harvard) as part of SMSMS 2021 (School on Mirror Symmetry and Moduli 
 Spaces)\n\n\nAbstract\nIntroductory talk surveying some results about mirr
 or symmetry of branes in the moduli space of Higgs bundles.\n
LOCATION:https://researchseminars.org/talk/SMSMS-2021/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anton Mellit (Viena)
DTSTART:20210630T140000Z
DTEND:20210630T144500Z
DTSTAMP:20260422T212710Z
UID:SMSMS-2021/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SMSMS-2021/4
 /">Relations in cohomology rings via mirror symmetry</a>\nby Anton Mellit 
 (Viena) as part of SMSMS 2021 (School on Mirror Symmetry and Moduli Spaces
 )\n\n\nAbstract\nI will talk about Lefschets-type sl2 action on the cohomo
 logy of the moduli space of stable GL_n-Higgs bundles. It turns out\, the 
 S matrix of this action interchanges the operators of multiplication by ce
 rtain tautological classes with certain monodromy operators. In a joint pr
 oject with Tamas Hausel we attempt to guess a complete list of relations b
 etween these operators. This is then implies some relations in the cohomol
 ogy ring. Conjecturally\, we obtain all relations in ranks 2 and 3.\n
LOCATION:https://researchseminars.org/talk/SMSMS-2021/4/
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