Speaker
YP Lee
Description
Among the generalized cohomology theories associated with 1-dimensional groups are ordinary cohomology (additive group), complex K-theory (multiplicative group), and elliptic cohomology (elliptic curve). In the late 1980s and early 1990s, physicists initiated quantum cohomology (Gromov-Witten theory) as the enumerative geometry associated with ordinary cohomology. A decade later, A. Givental and I introduced quantum K-theory. In this joint work with E. Bouaziz and I. Huq-Kuruvilla, I will report on recent progress toward establishing a mathematical framework for quantum elliptic cohomology.