Dmitry Tamarkin (Northwestern University), “On the Microlocal category”
Shamil Shakirov (Harvard University), “Q-skein algebras as integrable systems”
ABSTRACT: For a closed surface of genus 1 and 2 the q-skein algebra (of type A1) admits a description in terms of 1 resp. 3 commuting difference operators acting on commutative polynomials in 1 resp. 3 variables. This endows it with a stucture of a completely integrable quantum mechanical system. We argue that in higher genus analogous description exists, involving … Read More
Structures in Enumerative Geometry
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
STRUCTURES IN ENUMERATIVE GEOMETRY
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
STRUCTURES IN ENUMERATIVE GEOMETRY
Workshop “STRUCTURES IN ENUMERATIVE GEOMETRY” at MSRI. Please, see talk schedule at http://www.msri.org/workshops/816
Arnav Tripathy (Harvard University), “A geometric model for complex analytic equivariant elliptic cohomology”
ABSTRACT: Elliptic cohomology has always been a natural big brother to ordinary cohomology and K-theory. However, in contrast to the plethora of geometric objects that provide representatives for cohomology and K-theory classes, we do not know any geometric objects that provide representatives for elliptic cohomology. I will explain in this talk a step forward for the case of equivariant elliptic … Read More
Bumsig Kim (KIAS), “Localized Chern Characters for 2-periodic complexes”
ABSTRACT: For a two-periodic complex of vector bundles, Polishchuk and Vaintrob have constructed its localized Chern character. This is a generalization of the usual one. We explore some basic properties of this localized Chern character. In particular, we show that the cosection localization defined by Kiem and Li is equivalent to a localized Chern character operation for the associated two-periodic … Read More
Dustin Ross (San Francisco State University), “Higher-genus global mirror symmetry”
ABSTRACT: Over ten years ago, Chiodo and Ruan proved a genus-zero global mirror theorem, relating the Gromov-Witten invariants of the quintic threefold to the corresponding Fan-Jarvis-Ruan-Witten invariants. Moreover, they suggested that the genus-zero relationship quantizes to an all-genus statement. In this talk, I’ll describe recent work with Huai-liang Chang, Shuai Guo, and Jun Li to compute higher-genus FJRW invariants and … Read More
Georg Oberdieck (MIT), “Quantum cohomology of Hilb(K3)”
Ivan Smith (Cambridge), “Plumbings and flops”
ABSTRACT: I will explain a toy and ad hoc instance of mirror symmetry which relates compact Fukaya categories of certain simple plumbings of 3-spheres to derived categories arising from pairs of floppable curves in 3-folds. The appropriate big picture is largely absent. This talk reports on joint work in regress with Jonny Evans and Michael Wemyss.