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SUMMARY:Aron Heleodoro (Hong Kong University)
DTSTART:20231030T070000Z
DTEND:20231030T083000Z
DTSTAMP:20260422T155715Z
UID:HKUST-AG/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/23/
 ">Semi-orthogonal decomposition of conjugation equivariant sheaves on the 
 loop group</a>\nby Aron Heleodoro (Hong Kong University) as part of Algebr
 a and Geometry Seminar @ HKUST\n\nLecture held in Room 5560.\n\nAbstract\n
 Let $k$ be an algebraically closed field and $L=k((t))$\, for $G$ a connec
 ted reductive algebraic group consider $\\breve G:= G(L)$. We establish a 
 semi-orthogonal decomposition indexed by Newton strata of $D(\\frac{\\brev
 e G}{\\breve G})$\, the DG category of $\\breve G$-equivariant constructib
 le etale sheaves on $\\breve G$. In this talk I will explain (1) how to co
 nsider (ind-)constructible etale sheaves on such infinite-dimensional spac
 es\, (2) what notion of semi-orthogonal decomposition we consider\, (3) th
 e definiton of Newton strata and the geometric input about them we need fo
 r the theory\, and (4) how this category relates to the affine Hecke categ
 ory. This is joint work with Xuhua He.\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/23/
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