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DTSTAMP:20170113T130539Z
DTSTART;TZID=America/Los_Angeles:20170113T161000
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TRANSP:OPAQUE
SUMMARY:Number Theory Seminar: Equivariant Morse theory in algebraic geometry
UID:105862-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:740 Evans Hall
DESCRIPTION:Daniel Halpern-Leistner\, Columbia University\n\nDevelopments in high energy physics\, specifically in the theory of mirror symmetry\, have led to deep conjectures regarding the geometry of a special class of complex manifolds called Calabi-Yau manifolds. One of the most intriguing of these conjectures states that various geometric invariants\, some classical and some more homological in nature\, agree for any two Calabi-Yau manifolds which are “birationally equivalent" to one another. I will discuss how new methods in equivariant geometry have shed light on this conjecture over the past few years\, leading to the first substantial progress for compact Calabi-Yau manifolds of dimension greater than three. The key technique is the new theory of “Theta-stratifications\," which allows one to bring ideas from equivariant Morse theory into the setting of algebraic geometry.
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=105862&view=preview
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