Events & Seminars

  • 2018 Dec 16

    Kazhdan seminar: Tomer Schlank "The Nonabelian Chabauty Method"

    12:00pm to 2:00pm

    Location: 

    Ross 70A
    Abstract: The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation. We shall present the classical methid, and give an approachable introduction to Kim's method. I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html
  • 2018 Dec 16

    Kazhdan seminar: Karim Adiprasito "Positivity in combinatorics and beyond"

    3:00pm to 5:00pm

    Location: 

    Ross 70A
    Abstract: I will discuss applications of algebraic results to combinatorics, focusing in particular on Lefschetz theorem, Decomposition theorem and Hodge Riemann relations. Secondly, I will discuss proving these results combinatorially, using a technique by McMullen and extended by de Cataldo and Migliorini. Finally, I will discuss Lefschetz type theorems beyond positivity. Recommended prerequisites: basic commutative algebra
  • 2018 Dec 17

    NT & AG Lunch: Jasmin Matz "Automorphic L-functions I"

    1:00pm to 2:00pm

    Location: 

    Faculty lounge, Math building
    Abstract: The goal of this (and the next) talk is to introduce automorphic L-functions for GL(n) and other split groups, and to discuss some of their properties and some conjectures. Key words: L-functions, Langlands dual group, modular forms
  • 2018 Dec 17

    NT & AG - Sazzad Biswas

    2:30pm to 3:30pm

    Location: 

    Ross 70

    Title: Local root numbers for Heisenberg representations 


    Abstract: On the Langlands program, explicit computation of the local root numbers 
    (or epsilon factors) for Galois representations is an integral part.
    But for arbitrary Galois representation of higher dimension, we do not
    have explicit formula for local root numbers. In our recent work
    (joint with Ernst-Wilhelm Zink) we consider Heisenberg representation
    (i.e., it represents commutators by scalar matrices) of the Weil
  • 2018 Dec 18

    Matthew Foreman (UC IRVINE), Global Structure Theorems for the space of measure preserving transformations

    2:15pm to 3:15pm

    Abstract: This talk describes two classes of symbolic topological systems, the odometer based and the circular systems. The odometer based systems are ubiquitous--when equipped with invariant measures they form an upwards closed cone in the space of ergodic transformations (in the pre-ordering induced by factor maps). The circular systems are a small class, but represent the diffeomorphisms of the 2-torus built using the Anosov-Katok technique of approximation by conjugacy.
     
  • 2018 Dec 19

    Analysis Seminar: Dmitry Ryabogin (Kent) "On a local version of the fifth Busemann-Petty Problem"

    12:00pm to 1:00pm

    Location: 

    Ross Building, Room 70
    Title: On a local version of the fifth Busemann-Petty Problem Abstract: In 1956, Busemann and Petty posed a series of questions about symmetric convex bodies, of which only the first one has been solved. Their fifth problem asks the following. Let K be an origin symmetric convex body in the n-dimensional Euclidean space and let H_x be a hyperplane passing through the origin orthogonal to a unit direction x. Consider a hyperplane G parallel to H_x and supporting to K and let C(K,x)=vol(K\cap H_x)dist (0, G).
  • 2018 Dec 19

    Set Theory Seminar - Asaf Karagila (The Morris model)

    2:00pm to 3:30pm

    Location: 

    Ross 63
    Title: The Morris model Abstract: Douglass Morris was a student of Keisler, and in 1970 he announced the following result: It is consistent with ZF that for every \alpha, there is a set A_\alpha which is the countable union of countable sets, and the power set of A_\alpha can be partitioned into \aleph_\alpha non-empty sets. The result was never published, and survived only in the form of a short announcement and an exercise in Jech's "The Axiom of Choice". We go over the proof of this theorem using modern tools, as well as some of its odd implications about "size" and countability.

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