Seminars Sorted by Series

We present a program to prove the following conjecture: Let $S$ be the spectrum of a DVR of equi-characteristic zero with field of fraction $K$ and residue field $k$. The functor (associated to the choice of a uniformizing) $\Psi:DM_{gm}(K) \to DM_...

We give an explicit formula for the syntomic regulator of certain elements in the first algebraic K-theory group of a smooth complete surface over the ring of integers of a p-adic field. The formula uses the theory of Coleman integration and the...

Geisser gives conjectured formulas for special values of zeta-functions of varieties over finite fields in terms of Euler characteristics of arithmetic cohomology (an improved version of Weil-etale cohomology). He then proves these formulas under...

By definition, NK_0(R) is K_0(R[t]) modulo K_0(R). We give a formula for this group when R is of finite type over a field of characteristic zero. The group is bigraded and determined by its typical pieces, which are the cdh cohomology groups H^p(R...

We will classify all unstable motivic operations from bidegree (2n,n) (with coefficients Z) to bidegree (p,q) with coefficients Z/l, l>2. All such operations are polynomials on the elements of the Steenrod Algebra. This work is based upon some...

We will describe some bounds on the multidegrees of complete intersections to have trivial Chow groups in low dimensions.

Let F be a presheaf with transfers on the category of smooth affinoid varieties over a non-archemidean field. Suppose that F is overconvergent and homotopy invariant. Then the presheaves H^i(-,F) are also homotopy invariant (where the cohomology is...

In the last eight lectures, we have reduced the proof of the Bloch-Kato to an assertion about motivic cohomology operations. We will prove that this assertion is correct, and so complete the proof of the Bloch-Kato conjecture.

This seminar will cover such topics as: Jones-Witten knot invariants, large N duality, knot invariants and Gromov-Witten invariants, topological vertex, Nekrasov's partition function and geometric engineering. The first lecture will give an overview...

This seminar is intended to cover background material or serve as a discussion session for the seminar "Yang-Mills theory for mathematicians", which will start on the following week. The first talk will give a brief overview of the concepts of...

I will give an overview of what is going to be discussed in the seminar during the semester, and start an introduction to the theory. No previous familiarity with geometric Langlands will be assumed.

The goal of the seminar is to cover the formalism of chiral algebras and related constructions that will be used in later talks in geometric Langlands seminar. In this talk an overview of representation theory of affine Lie algebras will be given...

An overview will be continued by a discussion of basic notions of quantum field theory (path integral, Feynman diagrams etc.)

This will be a discussion session for Gukov's talk, and/or a lecture on the background material, such as Gaussian integrals of the free theory, formal Feynman expansions etc.

Jones-Witten knot invariants and, time permitting, Chern-Simons perturbation theory will be discussed.

Fluctuations of the current of one dimensional non equilibrium diffusive systems are well understood. After a short review of the one dimensional results, the talk will try to show that the statistics of these fluctuations are exactly the same in...

Previous studies of kinetic transport in the Lorentz gas have been limited to cases where the scatterers are distributed at random (e.g. at the points of a spatial Poisson process) or at the vertices of a Euclidean lattice. In this talk I will...

This will be a background talk on the Kardar-Parisi-Zhang equation and its universality class.

I will start with discussing the relation between a class of disorder-generated multifractals and logarithmically-correlated random fields and processes. An important example of the latter is provided by the so-called "\(1/f\) noise" which, in...

This will be a background talk on the Kardar-Parisi-Zhang equation and its universality class.

Our goal is to explain how certain basic representation theoretic ideas and constructions encapsulated in the form of Macdonald processes lead to nontrivial asymptotic results in various `integrable'; probabilistic problems. Examples include dimer...

Our goal is to explain how certain basic representation theoretic ideas and constructions encapsulated in the form of Macdonald processes lead to nontrivial asymptotic results in various `integrable'; probabilistic problems. Examples include dimer...

An isolated quantum many-body system may be a reservoir that thermalizes its constituents. I will explore an example of the interplay of this thermalization and spontaneous symmetry-breaking, in the ferromagnetic phase of an infinite-range quantum...

In the early 1960's Dyson and Mehta found that the CSE relates to the COE. I'll discuss generalizations as well as other settings in random matrix theory in which \(\beta\) relates to \(4/\beta\).

We develop spectral theory for the generator of the \(q\)-Boson particle system. Our central result is a Plancherel type isomorphism theorem for this system; it implies completeness of the Bethe ansatz in infinite volume and enables us to solve...

The quantum random energy model is a random matrix of Schroedinger type: a Laplacian on the hypercube plus a random potential. It features in various contexts from mathematical biology to quantum information theory as well as an effective...

I discuss a renormalization group method to derive diffusion from time reversible quantum or classical microscopic dynamics. I start with the problem of return to equilibrium and derivation of Brownian motion for a quantum particle interacting with...