# Recently Added

## How to Construct Topological Invariants via Decompositions and the Symplectic Category

## On the Number of Hamilton Cycles in Psdueo-Random Graphs

A pseudo-random graph is a graph G resembling a typical random graph of the same edge density. Pseudo-random graphs are expected naturally to share many properties of their random counterparts. In particular, many of their enumerative properties should be similar to those of random graphs.

## Chow Rings, Decomposition of the Diagonal and the Topology of Families

Lecture 4: Integral Coefficients; Application to Birational Invariants

## Chow Rings, Decomposition of the Diagonal and the Topology of Families

Lecture 3: Decomposition of the Small Diagonal and the Topology of Families

## Hofer's Geometry of the Space of Diameters

## Arnold Diffusion by Variational Methods, II

## Chow Rings, Decomposition of the Diagonal and the Topology of Families

Lecture 2: On the Generalized Bloch and Hodge Conjectures for Complete Intersections

## Characteristic Polynomials of the Hermitian Wigner and Sample Covariance Matrices

We consider asymptotics of the correlation functions of characteristic polynomials of the hermitian Wigner matrices $H_n=n^{-1/2}W_n$ and the hermitian sample covariance matrices $X_n=n^{-1}A_{m,n}^*A_{m,n}$. We use the integration over the Grassmann variables to obtain a convenient integral representation.

## Chow Rings, Decomposition of the Diagonal and the Topology of Families

Summary: These lectures are devoted to the interplay between cohomology and Chow groups of a complex algebraic variety, and also to the consequences, on the topology of a family of smooth projective varieties, of statements concerning Chow groups of the general fiber. A crucial notion is that of coniveau of the cohomology and its conjectural relation with the shape of Chow groups of small dimension. A common theme will be that of decomposition of the diagonal, which will appear in various contexts.