## Speaker:

Professor Kefeng Liu

## Institution:

UCLA

## Time:

Thursday, November 4, 2004 - 4:00pm

## Location:

MSTB 254

I will discuss the proofs of some conjectural formulas

about Hodge integrals on moduli spaces of curves.

The generating series for all genera and all marked

points of such integrals are expressed in terms of

finite closed formulas from Chern-Simons knot invariants.

Such conjectures were made by string theorists based

on large N duality in string theory. I will explain

our proofs from localization techniques. Their relation

to toric Calabi-Yau manifolds and equivariant index

theory in gauge theory will also be discussed.

These are joint works with C.-C. Liu, J. Zhou and J. Li.