EVENT DETAILS AND ABSTRACT

Title: Quantum geometry of local CP^1 and its cyclic quotients
Speaker: Dagan Karp
Speaker Info: Berkeley
Brief Description:
Special Note:
Abstract:

In this talk I hope to introduce a conjectural triangle of equivalences, relating (1) the (orbifold) Gromov-Witten theory of (cyclic quotients of) local P^1, (2) the Gromov-Witten theory of their resolutions and (3) the Chern-Simons theory of their large-N duals.

The equivalence of (2) and (3) is a conjecture of Aganagic-Klemm-Marino-Vafa and I will report on work in progress with S. Koshkin. The equivalence of (1) and (2) has been announced (in genus zero at least) by various subsets of Coates-Corti-Iritany-Tseng. The relationship between (1) and (3) would follow from the above, and represents a new CS/OrbGW duality.