Number Theory & Algebraic Geometry

  • 2020 Apr 27

    Spencer Leslie [HUJI-BGU AGNT Seminar]

    2:15pm to 4:00pm

    Location: 

    https://zoom.us/j/468718180,
    Speaker: Spencer Leslie (Duke)
    Title: The endoscopic fundamental lemma for unitary symmetric spaces
    Abstract: Motivated by the study of certain cycles in locally symmetric
    spaces and periods of automorphic forms on unitary groups, I propose a
    theory of endoscopy for certain symmetric spaces. The main result is the
    fundamental lemma for the unit function. After explaining where the
    fundamental lemma fits into this broader picture, I will describe its
    proof.
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  • 2020 Mar 16

    NT Seminar - Sam Chow - CANCELLED!!!

    2:30pm to 3:30pm

    Location: 

    Ross 70

    Title. Dyadic approximation in the Cantor set

    Abstract. We investigate the approximation rate of a typical element of the Cantor set by dyadic rationals. This is a manifestation of the times two times three phenomenon, and is joint work with Demi Allen and Han Yu.
  • 2020 Jan 06

    Special Seminar - Frauke Bleher

    4:00pm to 5:00pm

    Location: 

    Ross 63
    Title: Cup products oncurves over finite fields
    Abstract: This is joint work with Ted Chinburg.
    Let C be a smooth projective curve over a finite field k, and
    let l be a prime number different from the characteristic of k.
    In this talk I will discuss triple cup products on the first etale
    cohomology group of C with coefficients in the constant
    sheaf of l-th roots of unity. These cup products are important
    for finding explicit descriptions of the l-adic completion of the
    etale fundamental group of C and also for cryptographic
  • 2019 Dec 30

    NT Seminar - Shai Evra

    2:30pm to 3:30pm

    Location: 

    Ross 70

    Title: Ramanujan Conjectures, Density Hypotheses and Applications for Arithmetic Groups.
    Abstract: The Generalized Ramanujan Conjecture (GRC) for GL(n) is a central open problem in modern number theory. Its resolution is known to yield applications in many fields, such as: Diophantine approximation and arithmetic groups. For instance, Deligne's proof of the Ramanujan-Petersson conjecture for GL(2) was a key ingredient in the work of Lubotzky, Phillips and Sarnak on Ramanujan graphs.
  • 2019 Dec 23

    NT Seminar - Uriya First

    2:30pm to 3:30pm

    Location: 

    Ross 70
    Title: The Grothendieck--Serre conjecture for classical groups in low dimensions
    Abstract:
    A famous conjecture of Grothendieck and Serre predicts that if G is a reductive group scheme over a semilocal regular domain R and X is a G-torsor, then X has a point over the fraction field of R if and only if it has an R-point. Many instances of the conjecture have been established over the years. Most notably, Panin and Fedorov--Panin proved the conjecture when R contains a field.

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