Seminars Sorted by Series

Reading Group on Degeneration of Hodge-de Rham Spectral Sequences

Apr
12
2017

Reading Group on Degeneration of Hodge-de Rham Spectral Sequences

Algebraic proofs of degenerations of Hodge-de Rham complexes
Andrei Căldăraru
3:00pm

In the first half of the talk I shall present a new algebraic proof of a result of Deligne-Illusie about the degeneration of the Hodge-de Rham spectral sequence. The idea is to reduce the main technical point of their proof to a question about the...

Reading Group on Homological Mirror Symmetry and K3 Surfaces

Feb
01
2017

Reading Group on Homological Mirror Symmetry and K3 Surfaces

The Yau-Zaslow conjecture / KMPS theorem
Amitai Zernik
1:00pm

In this talk I'll describe a proof of Klemm, Maulik, Pandharipande and Scheidegger of the Yau Zaslow conjecture, which equates the generating function for reduced Gromov-Witten invariants of a K3 surface with the generating function of partitions to...

Reading Group on Legendrian Knots and Associated Categories

Reading Group on Mirror Symmetry by Examples

Apr
03
2017

Reading Group on Mirror Symmetry by Examples

Mirror symmetry for a toric Calabi-Yau 3-fold
4:00pm

I will describe the non-homological (i.e. enumerative) aspect of mirror symmetry for a particular toric Calabi-Yau 3-fold, the total space of the canonical bundle over $\mathbb P^2$. In this case, there is a simpler B-model on its mirror curve which...

Reading Group on Punctured Log Gromov-Witten Theory

Reading Group on Quantization of BCOV and the Higher-Genus B-Model

Apr
13
2017

Reading Group on Quantization of BCOV and the Higher-Genus B-Model

Computing a categorical Gromov-Witten invariant
Andrei Căldăraru
1:00pm

In his 2005 paper "The Gromov-Witten potential associated to a TCFT" Kevin Costello described a procedure for recovering an analogue of the Gromov-Witten potential directly out of a cyclic A-inifinity algebra or category. Applying his construction...

Apr
13
2017

Reading Group on Quantization of BCOV and the Higher-Genus B-Model

Givental's quantization of semi-simple Frobenius manifolds
4:00pm

Givental's quantization formula describes higher genus invariants from genus zero data, the Frobenius manifold. I will describe this quantization and state Teleman's result that this quantization actually describes all semisimple cohomological field...

Reading Seminar on Alexandrov Geometry