Department of Mathematics
Mathematics Colloquium - Spring 2016
Wednesday, May 4th, 2016
3:00pm - 4:00pm, in McCormack 2-404
3:00pm - 4:00pm, in McCormack 2-404
Yu-Shen Lin
Stanford UniversityCounting Riemann Surfaces via Combinatorics
Abstract:
One of the central problems in enumerative geometry is
counting Riemann surfaces with various conditions. Inspired by the
Strominger-Yau-Zaslow conjecture, we will reduce the counting of
holomorphic discs in certain Calabi-Yau surfaces to weighted counting
of certain graphs, known as tropical discs. The countings of
holomorphic discs would satisfy the Kontsevich-Soibelman wall-crossing
formula and are conjecturally related to the explicit formula for
Ricci-flat metrics.
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Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
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