Algebraic Geometry Seminar
Integrality of coefficients of mirror maps (after Jockers and Mayr)
2025/01/15 (Wed.) 15:00~17:00
- Date : 2025/01/15 (Wed.) 15:00~17:00
- Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
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Speaker : Ionut Ciocan-Fontanine (Institute of Mathematics, Academia Sinica)
- Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
- Abstract : In a 2018 Physics paper, Jockers and Mayr argued that a so-called “3-d, N=2 abelian Gauged Linear Sigma Model” leads, via the renormalization flow, to Givental’s permutation-equivariant quantum K-theory of a complete intersection in a toric variety. Among the consequences they explored was a new derivation of the integrality of the Taylor coefficients of the mirror map (for Calabi-Yau complete intersections) which leveraged the intrinsic integrality of the 3-d GLSM partition function. In this talk I will explain how the theory of quasimaps to GIT quotients can be used to justify rigorously their argument (and extend its applicability to the non-abelian case as well). This is joint work with Jorin Schug.
