Organizer: Dietmar Bisch

Tuesdays and Thursdays 1:30 pm – 3:00 pm, South Hall, Room 4607B

• Date: 4/9/02 (Tuesday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part I
• Date: 4/11/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part II
• Date: 4/16/02 (Tuesday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part III
• Date: 4/23/02 (Tuesday)
  • Speaker: Axel Schueler, USC
  • Title: Laplace operator and Hodge decomposition for quantum groups
  • Abstract: We consider the standard bicovariant differential calculi
    on the q-deformed function algebras to the classical four series A-D of Lie
    groups. We show that the de Rham cohomology of the exterior algebras
    coincides with the de Rham cohomology of its left-invariant, right-invariant
    and of its biinvariant subcomplexes. In the cases GL_q(N) and
    SL_q(N) the cohomology is isomorphic to the biinvariant exterior
    algebra and to the space of harmonic forms. We prove a Hodge decomposition
    theorem in these cases (see http://xxx.uni-augsburg.de/abs/math.QA/0008195)
• Date: 4/30/02 (Tuesday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part IV
• Date: 5/2/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On the construction of automorphisms of subfactors
• Date: 5/7/02 (Tuesday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part V
• Date: 5/9/02 (Thursday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Some rigidity results for non-commutative Bernoulli shifts (after Popa), Part VI
• Date: 5/21/02 (Tuesday)
  • Speaker: Imre Tuba, UCSB
  • Title: Characterization of tensor categories of classical Lie type
• Date: 5/28/02 (Tuesday) Cancelled !
  • Speaker: Sorin Popa, UCLA
  • Title: Some rigidity results for II₁ factors
• Date: 6/3/02 (Monday) Special talk! 12-2 pm, iQUEST seminar room
  • Speaker: Manny Knill, Los Alamos National Lab
  • Title: Overview of linear optics quantum computation
• Date: 6/4/02 (Tuesday) PH.D. THESIS DEFENSE, 11-12 pm, SH 6635
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: Commuting squares and automorphisms of subfactors
• Date: 6/4/02 (Tuesday)
  • Speaker: Manny Knill, Los Alamos National Lab
  • Title: Separability as a special case of coherence
  • Abstract:
    Separable states are exactly the coherent states with respect to the
    Lie group of local transformations. What aspects of the study of separability
    and entanglement are applicable to general coherent states? Basic properties,
    such as those involving entanglement measures and behavior under LOCC
    operations do indeed generalize. This leads to a program of studying the
    quintessential features of entanglement without reference to locality or
    subsystems. It turns out that coherent and separable states can be analyzed in
    an even more general setting involving pairs of convex cones. This seminar will
    be an informal discussion of these ideas and how the program is progressing.