Seminars

  • 2019 May 21

    Special groups theory seminar: Abdalrazzaq R A Zalloum (Suny Buffalo) "Regular languages for hyperbolic-like geodesics".

    4:00pm to 5:00pm

    Location: 

    Ross 63
    Combinatorial group theory began with Dehn's study of surface groups, where he used arguments from hyperbolic geometry to solve the word/conjugacy problems. In 1984, Cannon generalized those ideas to all "hyperbolic groups", where he was able to give a solution to the word/conjugacy problem, and to show that their growth function satisfies a finite linear recursion. The key observation that led to his discoveries is that the global geometry of a hyperbolic group is determined locally: first, one discovers the local picture of G, then the recursive structure
  • 2019 May 22

    Logic Seminar - Shahar Oriel

    11:00am to 1:00pm

    Location: 

    Ross 63
    An omega-categorical strictly stable pseudo-plane

    Lachlan conjectured that any omega-categorical stable theory is even omega-stable. Later in 1980 it was shown that there is no omega-categorical omega-stable pseudo plane. In 1988, Hrushovski refuted Lachlan's conjecture by constructing an omega-categorical, strictly stable pseudo-plane.

    We will give a quick overview of the construction and try to use this example to test if some properties of omega-categorical  omega-stable theories lift to omega-categorical stable theories.
  • 2019 May 22

    Analysis seminar: Yoel Grinshpon "Fluctuations of linear statistics for Schroedinger operators with a random decaying potential"

    12:00pm to 1:00pm

    Location: 

    Ross 70
    Title: Fluctuations of linear statistics for Schroedinger operators with a random decaying potential Abstract: Linear statistics provide a tool for the analysis of fluctuations of random measures and have been extensively studied for various models in random matrix theory. In this talk we discuss the application of the same philosophy to the analysis of the finite volume eigenvalue counting measure of one dimensional Schroedinger operators and demonstrate it with some interesting results in the case of a random decaying potential. This is joint work with Jonathan Breuer and Moshe White.
  • 2019 May 22

    Set Theory Seminar - Gabriel Fernandes (BIU) (part II)

    2:00pm to 3:30pm

    Location: 

    Ross 63
    Abstract: We combine a technique of Steel with one due to Jensen and Steel to obtain a core model below singular cardinals kappa which are sufficiently closed under the beth function, assuming that there is no premouse of height kappa with unboundedly many Woodin cardinals. The motivation for isolating such core model is computing a lower bound for the strength of the theory: T = ''ZFC + there is a singular cardinal kappa such that the set of ordinals below kappa where GCH holds is stationary and co-stationary''.
  • 2019 May 26

    Zlil Sela and Alex Lubotzky "Model theory of groups"

    Repeats every week every Sunday until Sat Jun 29 2019 except Sun Apr 21 2019.
    11:00am to 1:00pm

    Zlil Sela and Alex Lubotzky "Model theory of groups" In the first part of the course we will present some of the main results in the theory of free, hyperbolic and related groups, many of which appear as lattices in rank one simple Lie groups We will present some of the main objects that are used in studying the theory of these groups, and at least sketch the proofs of some of the main theorems. In the second part of the course, we will talk about the model theory of lattices in high rank simple Lie groups.
  • 2019 May 26

    Ari Shnidman "Geometric expressions for derivatives of L-functions of automorphic forms" (after Yun and Zhang)

    Repeats every week every Sunday until Sun Jun 23 2019 except Sun Apr 21 2019.
    2:00pm to 4:00pm

    Yun and Zhang compute the Taylor series expansion of an automorphic L-function over a function field, in terms of intersection pairings of certain algebraic cycles on the so-called moduli stack of shtukas. This generalizes the Waldspurger and Gross-Zagier formulas, which concern the first two coefficients. The goal of the seminar is to develop the background necessary to state their formula, and then indicate the structure of the proof. If time allows, we may also discuss applications to the Birch and Swinnerton-Dyer conjecture for elliptic curves over function fields.

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