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SUMMARY:Maxim Kontsevich (IHES)
DTSTART:20220223T153000Z
DTEND:20220223T170000Z
DTSTAMP:20260423T024837Z
UID:Vinberg/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Vinberg/10/"
 >Introduction to wall-crossing</a>\nby Maxim Kontsevich (IHES) as part of 
 The Vinberg Lecture Series\n\n\nAbstract\nWall-crossing structures appeare
 d several years ago in several mathematical contexts\, including cluster a
 lgebras and theory of generalized Donaldson-Thomas invariants. In my lectu
 re I will describe the general formalism based on a graded Lie algebra and
  an additive map from the grading lattice to an oriented plane ("central c
 harge").\n\nA geometric example of a wall-crossing structure comes from th
 eory of translation surfaces. The number of saddle connections in a given 
 homology class is an integer-valued function on the parameter space (modul
 i space of abelian or quadratic differentials)\, which jumps along certain
  walls. The whole theory can be made totally explicit in this case. Also\,
  I'll talk about another closely related example\, which can be dubbed a "
 holomorphic Morse-Novikov theory".\n
LOCATION:https://researchseminars.org/talk/Vinberg/10/
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