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FIELD
Math: HCMC
DATE
May 23 (Thu), 2024
TIME
10:30 ~ 12:00
PLACE
1424
SPEAKER
Cho, Sungmun
HOST
Lee, Chul-hee
INSTITUTE
POSTECH
TITLE
[HG_A] Orbital integrals for classical Lie algebras and smoothening
ABSTRACT
I will introduce a new method, using smoothening of a certain scheme over DVR, to study stable orbital integrals for regular semisimple elements and for the unit element of the Hecke algebras in classical Lie algebras gl_n, u_n, sp_2n. As a byproduct, I will explain closed formulas for orbital integrals associated with an arbitrary element of the Hecke algebra in gl_3, and lower bounds/conjectures to estimate values of stable orbital integrals for the other cases. This is based on joint works with Taeyeoup Kang and/or Yuchan Lee.
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