Seminars Sorted by Series

I will explain basic tools for thinking about derived categories of coherent sheaves on rigid analytic spaces that are conducive to the study of homological mirror symmetry. A particular focus will be placed on the case of curves, and on methods...

I will explain basic tools for thinking about derived categories of coherent sheaves on rigid analytic spaces that are conducive to the study of homological mirror symmetry. A particular focus will be placed on the case of curves, and on methods...

Logarithmic Gromov-Witten invariants generalize usual and relative Gromov-Witten invariants and were first suggested by Siebert and then recently introduced by Gross-Siebert and Abramovich-Chen. Applications include more general degeneration...

Following Katz-Nishinou, we will compute the number of lines on a quintic threefold in $\mathbb P^4$ by degenerating the quintic to the union of coordinate hyperplanes. This motivates degeneration formulae in Gromov-Witten theory that I will give...

Noncommutative geometry, as advocated by Konstevich, proposes to replace the study of (commutative) varieties by the study of their (noncommutative) dg/A-infinity categories of perfect complexes. Conveniently, these techniques can then also be...

Noncommutative geometry, as advocated by Konstevich, proposes to replace the study of (commutative) varieties by the study of their (noncommutative) dg/A-infinity categories of perfect complexes. Conveniently, these techniques can then also be...

I'll begin with a leisurely introduction to Fukaya A-infinity algebras and their bounding chains. Then I'll explain how to use bounding chains to define open Gromov-Witten invariants. The bounding chain invariants can be computed using an open...

I'll begin with a leisurely introduction to Fukaya A-infinity algebras and their bounding chains. Then I'll explain how to use bounding chains to define open Gromov-Witten invariants. The bounding chain invariants can be computed using an open...

I will give an introduction to the microlocal theory of sheaves after Kashiwara and Schapira, and some of its recent applications in symplectic topology. I'll start with the basics, but target applications for the 75 minutes are Tamarkin's proof of...

I will survey the coherent-constructible correspondence of Bondal, which embeds the derived category of coherent sheaves on a toric variety into the derived category of constructible sheaves on a compact torus. The tools of the first lecture turn...

We are will discuss a notion of noncommutative and derived algebraic variety. This approach comes from a generalization of derived categories of (quasi)coherent sheaves on usual algebraic varieties and their enhancements. We are going to talk about...

We are will discuss a notion of noncommutative and derived algebraic variety. This approach comes from a generalization of derived categories of (quasi)coherent sheaves on usual algebraic varieties and their enhancements. We are going to talk about...

Continuation of Friday, Feb 3 minicourse. We will discuss a notion of noncommutative and derived algebraic variety. This approach comes from a generalization of derived categories (quasi) coherent sheaves on usual algebraic varieties and their...

I will explain the construction and the geometry of the non-archimedean SYZ fibration.

I will explain the case of log Calabi-Yau surfaces, based on my previous works and my work in progress with Sean Keel.

In the two talks, aimed at a broad mathematical audience, I'll explain my conjecture, joint with Gross, Hacking, and Siebert, which says, informally, that if you live on a Calabi Yau, your world comes with an intrinsic global positioning system...

In the two talks, aimed at a broad mathematical audience, I'll explain my conjecture, joint with Gross, Hacking, and Siebert, which says, informally, that if you live on a Calabi Yau, your world comes with an intrinsic global positioning system...

Homological mirror symmetry postulates a derived equivalence between the wrapped Fukaya category of an exact symplectic manifold and a category of coherent sheaves or matrix factorizations on a mirror space. This talk will provide an introduction to...

The wrapped Fukaya category of an algebraic hypersurface $H$ in $(C*)^n$ is conjecturally related via homological mirror symmetry to the derived category of singularities of a toric Calabi-Yau manifold $X$, whose moment polytope is determined by the...

I will discuss a construction of the homological mirror correspondence on algebraic integrable systems arising as moduli of flat bundles on curves. The focus will be on non-abelian Hodge theory as a tool for implementing hyper Kaehler rotations of...

I will discuss a construction of the homological mirror correspondence on algebraic integrable systems arising as moduli of flat bundles on curves. The focus will be on non-abelian Hodge theory as a tool for implementing hyper Kaehler rotations of...

Consider the Fukaya A8 algebra $E$ of $RP^{2m}$ in $CP^{2m}$ (with bulk and equivariant deformations, over the Novikov ring). On the one hand, elementary algebraic considerations show that E admis a rigid cyclic minimal model, whose structure...

In the talk, we will discuss how to relate scattering diagram with quiver representations. Then we can see how the broken lines give a stratification of quiver Grassmannian. At the end, we will briefly discuss how we can fry to compute the structure...

In this talk, we will discuss symplectomorphisms coming from Dehn twists along Lagrangian spherical manifolds. The main focus will be on the induced auto-equivalences of the Fukaya category. We will explain the auto-equivalence formula from several...

I will discuss Gamma conjecture and its proof in some examples (such as complete intersections in toric varieties) using mirror symmetry. Specifically, I will talk about the B-model $D$-module associated with a LG model, Dubrovin conjecture, and...

I'll explain the main result on my paper with Kentaro 1308.2438 [hep-th], which recovers (and generalizes) Iritani's central charge expression, that can be found, for example, in 0903.1463[math.AG]. For this physics derivation I'll have to introduce...