[QSMS Monthly Seminar 2023-05-26] Lagrangian submanifolds and their Legendrian lifts

by qsms posted May 26, 2023


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일정시작 2023-05-26
배경색상 #036eb7

2023년 5월 QSMS  Monthly Seminar


  • Date:   May 26 (Fri) 11:00 ~ 16:00
  • Place:  25-103 (SNU)
  • Contents:


Speaker:  홍한솔 (오전 11시)

Title: Lagrangian submanifolds and their Legendrian lifts
Abstract: Given a Laurent polynomial defined over non-Archimedean field (typically the Novikov ring), I will introduce a tropical method to find possible locations of its critical points.
The main application is to study closed string mirror symmetry for a class of blowups of toric surfaces. The mirror geometry in this case, consists of a Laurent polynomial (or series) called the potential, which can be combinatorially computed by counting broken lines on some scattering diagram.


Speaker:  최승일 (오후 3시)

Title: Symmetric and nonsymmetric Cauchy identities
Abstract: The Cauchy identity, which is the decomposition of the symmetric Cauchy kernel into a product of two Schur polynomials, is an important subject in the symmetric function theory and representation theory. Lascoux introduced a generalization of the Cauchy kernel, called nonsymmetric Cauchy kernels, and provided a decomposition into a product of key polynomials (or Demazure characters). In this talk, we will provide an overview of these results and then explore further extended results to other types.






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