Quebec Mathematical Sciences Colloquium

January 15, 2010 from 16:00 to 18:00 (Montreal/Miami time) On location

The orbifold vertex: counting curves on orbifolds by counting piles of colored boxes

Colloquium presented by Jim Bryan

Over the last few decades, sophisticated theories, often inspired by string theory, have been developed for counting curves on Calabi-Yau threefolds. For the particularly nice class of toric threefolds, these theories reduce to a beautiful combinatorial problem: how many different ways are there of piling boxes in a corner? When the curve counting is considered for toric orbifolds, the combinatorial problem transforms into counting colored boxes. We will assume no knowledge of Calabi-Yau threefolds, toric geometry, orbifolds, or string theory. Experience stacking boxes in a moving van is helpful, but not necessary.


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., room SH-3420