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SUMMARY:Sebastian Burciu (Institute of Mathematics of Romanian Academy)
DTSTART:20241023T090000Z
DTEND:20241023T100000Z
DTSTAMP:20260423T035607Z
UID:EQuAL/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/29/">B
 urnside vanishing type properties for fusion categories</a>\nby Sebastian 
 Burciu (Institute of Mathematics of Romanian Academy) as part of European 
 Quantum Algebra Lectures (EQuAL)\n\n\nAbstract\nA classical result of Burn
 side in the character theory of finite groups states that any irreducible 
 non-linear character of a finite group vanishes on at least one element of
  the group. In this talk\, we show that a similar vanishing property holds
  for weakly integral fusion  categories. It is known that Harada’s ident
 ity\, related with the product of all conjugacy class sums of a finite gro
 up\, is a consequence of Burnside’s vanishing property of characters. We
  prove a similar formula for any weakly integral fusion category and discu
 ss some other new consequences of this result. This is partially joint wor
 k with S. Palcoux.\n
LOCATION:https://researchseminars.org/talk/EQuAL/29/
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