Events at MSRI: SIMONS AUDITORIUM

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ABSTRACT: Talk is based on the joint work with Okounkov and Pandharipande. In my talk I will state conjectural Virasoro constraints for PT theory. For toric varieties the stationary version of the constraint is derived from the Gromov-Witten constraints. I will explain the GW/PT correspondence that relates the constraints.

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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

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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

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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

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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.