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SUMMARY:Riemann Hypothesis for Zeta-functions of Plane Curve Singularities
DTSTART:20191211T151500
DTEND:20191211T163000
DTSTAMP:20260427T203159Z
UID:ae02faa94fd6872647a40b284e340e2bc8c2c56e9fed9bc007acbf5d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ivan Cherednik (University of North Carolina)\nZeta-functions 
 of plane curve singularities will be defined from scratch and discussed\, 
 including basic examples. The functional equation for them holds\, however
  the Riemann Hypotheis fails for the corresponding L-functions in contrast
  to the smooth projective curves (Weil\, Deligne). This can be fixed for s
 ufficiently small q. Classically q is the cardinality of a finite field\, 
 but it becomes an arbitrary parameter in the new vintage of the theory\, i
 nspired by the connections with motivic and DAHA superpolynomials\, and wi
 th Khovanov-Rozansky ones. The motivic superpolynomials will be fully defi
 ned\; their relation to affine Springer fibers will be discussed at the en
 d. Only very basic knowledge of rings/modules is assumed and no theory of 
 curves and their singularities will be used.
LOCATION:GC A3 30 https://plan.epfl.ch/?room==GC%20A3%2030
STATUS:CONFIRMED
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