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SUMMARY:Mayuko Yamashita (Perimeter Institute)
DTSTART:20250430T150000Z
DTEND:20250430T163000Z
DTSTAMP:20260422T174244Z
UID:tandg/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/29/">T
 opological elliptic genera</a>\nby Mayuko Yamashita (Perimeter Institute) 
 as part of Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbstract\nT
 here is a classical notion of elliptic genera\, which assigns Jacobi forms
  to SU-manifolds.  In this talk\, I explain my work with Ying-Hsuan Lin (<
 a href="https://arxiv.org/abs/2412.02298">arXiv:2412.02298</a>) to give it
 s homotopy-theoretical refinements and variants\, which we call “topolog
 ical elliptic genera”.  The codomain becomes genuinely equivariant twist
 ed Topological Modular Forms.  In this talk\, I explain the construction a
 nd physical idea behind\, and discuss an application where we derive an in
 teresting divisibility result of Euler numbers for Sp-manifolds.  Also I e
 xplain a recent update with Tilman Bauer (in preparation) proving the surj
 ectivity results of topological elliptic genera.\n
LOCATION:https://researchseminars.org/talk/tandg/29/
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