Colloque des sciences mathématiques du Québec

15 janvier 2010 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

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

Colloque par 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., salle SH-3420