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PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Stringy invariants and toric Artin stacks
DTSTART:20201111T160000
DTEND:20201111T170000
DTSTAMP:20260510T164909Z
UID:da5fea1cbc534b19d683bc3a452efc6552418a13619a396d3e1f3f29
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jeremy Usatine (Brown University)\nStringy Hodge numbers are c
 ertain generalizations\, to the singular setting\, of Hodge numbers. Unlik
 e usual Hodge numbers\, stringy Hodge numbers are not defined as dimension
 s of cohomology groups. Nonetheless\, an open conjecture of Batyrev's pred
 icts that stringy Hodge numbers are nonnegative. In the special case of va
 rieties with only quotient singularities\, Yasuda proved Batyrev's conject
 ure by showing that the stringy Hodge numbers are given by orbifold cohomo
 logy. For more general singularities\, a similar cohomological interpretat
 ion remains elusive. I will discuss a conjectural framework\, proven in th
 e toric case\, that relates stringy Hodge numbers to motivic integration f
 or Artin stacks\, and I will explain how this framework applies to the sea
 rch for a cohomological interpretation for stringy Hodge numbers. This tal
 k is based on joint work with Matthew Satriano.
LOCATION:ZOOM
STATUS:CONFIRMED
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