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SUMMARY:GAAG seminar - An algebro-geometric version of the PoincarĂ© conje
cture
DTSTART;VALUE=DATE-TIME:20240515T131500
DTEND;VALUE=DATE-TIME:20240515T150000
DTSTAMP;VALUE=DATE-TIME:20240619T100525Z
UID:014676b498337aac84841e788bc54ff5155c99727376d868e2119d34
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mirko Mauri (Ă‰cole Polytechnique)\nDual complexes are CW-comp
lexes\, encoding the combinatorial data of how the irreducible components
of a simple normal crossing pair intersect. The algebraic geometry of the
divisor is reflected in the topology of the dual complex. One of the most
tantalizing conjectures in the field is the expectation that the dual comp
lex of an anticanonical divisor is a sphere or a finite quotient of a sphe
re. Equivalently\, a combinatorial Calabi-Yau variety should resemble a sp
here. I will provide an overview of the current state of the conjecture\,
and report on joint work with Joaquin Moraga. We introduce a numerical inv
ariant called birational complexity that\, among other properties\, measur
es the degree to which the dual complex of an anticanonical divisor is clo
se to be a sphere.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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