Upcoming Talks

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Stable envelopes, 3d mirror symmetry, bow varieties

ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR

Date
Thursday, April 15, 2021 14:00 - 16:00
Speaker
Richárd Rimányi (UNC Chapel Hill)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tamas Hausel
Contact
Url

The role played by Schubert classes in the geometry of Grassmannians is played by the so-called stable envelopes in the geometry of Nakajima quiver varieties. Stable envelopes come in three flavors: cohomological, K theoretic, and elliptic stable envelopes. We will show examples, and explore their appearances in enumerative geometry and representation theory. In the second part of the talk we will discuss 3d mirror symmetry for characteristic classes’’, namely, the fact that for certain pairs of seemingly unrelated spaces the elliptic stable envelopes match’ in some concrete (but non-obvious) sense. We will meet Cherkis bow varieties, a pool of spaces (conjecturally) closed under 3d mirror symmetry for characteristic classes’’. The combinatorics necessary to play Schubert calculus on bow varieties includes binary contingency tables, tie diagrams, and the Hanany-Witten transition.


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