Organizers: Harry Tamvakis, Tom Haines, Jeffrey Adams
When: Wednesdays @ 2pm
Where: Math 1311
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  • Organizational meeting

    Speaker: () -

    When: Wed, August 30, 2017 - 2:00pm
    Where: Kirwan Hall 1311
  • Characters of Finite Dimensional Representations

    Speaker: Jeffrey Adams (University of Maryland) -

    When: Wed, September 6, 2017 - 2:00pm
    Where: Kirwan Hall 1311

    View Abstract

    Abstract: The main objects of study of the Atlas of Lie Groups and
    Representations are infinite dimensional representations. However
    there are quite a few interesting open questions about finite
    dimensional representations. One is: what can one say about the
    signature of the invariant (Hermitian or bilinear) form on an
    irreducible finite dimensional representation? How does this depend on
    the real form of the group? Another one is: if g in G represents the
    Coxeter element of the Weyl group, its trace in any finite dimensional
    representation is 0,\pm 1 (Kostant). What do these values mean, and
    are there other conjugacy classes like this?

  • Real representation of finite simple groups

    Speaker: Ryan Vinroot (William and Mary ) -

    When: Mon, September 18, 2017 - 2:00pm
    Where: Kirwan Hall 3206

    View Abstract

    Abstract: It has been conjectured that if G is a finite simple group, then every complex irreducible representation of G may be realized over the real numbers if and only if every element of G is the product of two involutions of G. This follows for most families of finite simple groups from work of various people over the past several decades, but not for the cases that G is either $p(2n,F_q) with q even or the simple orthogonal group Omega^{\pm}(4m,F_q) with q even. We will discuss the proof that this statement indeed holds for these symplectic groups, and what modifications must be made to the proof for the same method to apply to the simple orthogonal groups.
  • Unipotent Packets for Real Groups

    Speaker: Jonathan Fernandes (University of Maryland) -

    When: Wed, October 11, 2017 - 2:00pm
    Where: Kirwan Hall 1311
  • Jonathan Wang (TBA)

    Speaker: Jonathan Wang (IAS) -

    When: Mon, October 16, 2017 - 2:00pm
    Where: Kirwan Hall 3206
  • Rong Zhou (TBA)

    Speaker: Rong Zhou (IAS) -

    When: Mon, October 23, 2017 - 2:00pm
    Where: Kirwan Hall 1311
  • Tasho Kaletha (TBA)

    Speaker: Tasho Kaletha (University of Michigan) -

    When: Wed, November 8, 2017 - 2:00pm
    Where: Kirwan Hall 1311
  • Yiannis Sakellaridis (TBA)

    Speaker: Yiannis Sakellaridis (Rutgers Newark) -

    When: Mon, November 27, 2017 - 2:00pm
    Where: Kirwan Hall 3206