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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker: Ivan Cherednik (University of North Carolina at Chap
el Hill)\n\nWhere: In-Person at MIT Room 2-135 and on\n\nZoom
https://mit.zoom.us/j/94469771032?pwd=d3JaSVhVV0xDOGpkUDdveXdOYmNXQT09 \n\n
Title: “From DAHA superpolynomials for algebraic links to motivic
ones"\n\nAbstract: \n\nThe focus will be on a recent construction of the m
otivic superpolynomials far arbitrary singularities (multi-branch and non-
square-free). They will be introduced from scratch\, which includes the def
inition of varieties of torsion-free sheaves of any rank over curve singula
rities. Our motivic superpolynomials are q\,t\,a-generalizations of orbita
l integrals associated with affine Springer fibers of type A\, in the case
of the most general characteristic polynomials. I will not use the theory o
f AFS. The key conjecture is their coincidence with the DAHA superpolynomia
ls of the corresponding (colored) algebraic links. The latter (due to Chere
dnik-Danilenko) will be defined. This coincidence can be seen as a high-lev
el Shuffle Conjecture. As an application\, the DAHA vertex will be consider
ed and its relation to the q-theory of Riemann’s zeta. Also\, q\,t\,a-defo
rmations of the modified rho-invariants of algebraic knots will be discusse
d\; classically\, rho is defined via the APS eta invariant. See https://ar
xiv.org/abs/2304.02200 .
DTEND:20240315T210000Z
DTSTAMP:20241111T135152Z
DTSTART:20240315T190000Z
GEO:42.358262;-71.090045
LOCATION:Building 2\, Room 135
SEQUENCE:0
SUMMARY:Infinite-Dimensional Algebra Seminar: Ivan Cherednik (UNC Chapel H
ill)
UID:tag:localist.com\,2008:EventInstance_45710996546846
URL:https://calendar.mit.edu/event/infinite-dimensional_algebra_seminar_iva
n_cherednik_unc_chapel_hill
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