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SUMMARY:Alexander Kuznetsov (Steklov)
DTSTART:20200623T150000Z
DTEND:20200623T160000Z
DTSTAMP:20260423T052645Z
UID:Freemath/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/7/"
 >Residual categories and quantum cohomology</a>\nby Alexander Kuznetsov (S
 teklov) as part of Free Mathematics Seminar\n\n\nAbstract\nDubrovin's conj
 ecture predicts that a smooth projective variety has a full exceptional co
 llection in the derived category of coherent sheaves if and only if its bi
 g quantum cohomology ring is generically semisimple. However\, the big qua
 ntum cohomology is very hard to compute. We suggest a conjecture\, where t
 he big quantum cohomology is replaced by the small quantum cohomology (whi
 ch is much more easy to compute)\, and a full exceptional collection is re
 placed by a semiorthogonal decomposition of a special form. We support thi
 s conjecture by a number of examples provided by homogeneous varieties of 
 simple algebraic groups. This is a joint work with Maxim Smirnov.\n
LOCATION:https://researchseminars.org/talk/Freemath/7/
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