# Elliptic cohomology, stable envelopes, and enumerative geometry, I and II

IPMU Mathematics-String Theory Seminar

Speaker: | Andrei Okounkov (Columbia U) |
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Title: | Elliptic cohomology, stable envelopes, and enumerative geometry, I and II |

Date (JST): | Thu, Dec 16 & 23, 2021, 13:30 – 15:00 |

Place: | Zoom |

Abstract: | In these two talks, I will try to explain how a mathematical physicist may think about elliptic cohomology and stable envelopes, with an emphasis on both simplest examples and their generalizations. Some prior familiarity with equivariant cohomology or K-theory would be certainly helpful, but hopefully not absolutely necessary to understand the discussion. As an application, in the second part of the second talk, I will explain how stable envelopes in elliptic cohomology solve K-theoretic curve counting problems for such targets as Nakajima quiver varieties and related varieties. |