Operator Algebras Seminar, Winter 2002

Organizer: Dietmar Bisch

Tuesdays and Thursdays 2:00 pm - 3:15 pm, South Hall, Room 4607B

• Date: 1/10/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 1

• Date: 1/15/02 (Tuesday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 2
  • Abstract:

• Date: 1/17/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 3

• Date: 1/22/02 (Tuesday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 4

• Date: 1/24/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 5

• Date: 1/29/02 (Tuesday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Ergodic theory and maximal abelian subalgebras of the hyperfinite factor (after Neshveyev and Stormer)

• Date: 1/30/02 SPECIAL SEMINAR, Wednesday, 2-3pm, SH 6635
  • Speaker: Nate Brown, MSU
  • Title: An analogue of Szego's limit theorem for self adjoint operators

• Date: 1/31/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 6

• Date: 2/5/02 (Tuesday)
  • Speaker: Alexis Alevras, UCSB
  • Title: Ergodic theory and maximal abelian subalgebras of the hyperfinite factor (after Neshveyev and Stormer), Part 2

• Date: 2/7/02 (Thursday) SPECIAL SEMINAR
  • Speaker: Alexander Gorokhovsky, University of Michigan
  • Title: On the Chern character of a Fredholm module
  • Abstract: Fredholm modules are the basic building blocks of G. Kasparov's KK-theory. Finitely summable Fredholm modules and their Chern characters, introduced by A. Connes, are among the most important objects of Noncommutative geometry. We discuss two methods of obtaining explicit formulas for these Chern characters. One is based on the construction of the analogue of Paschke duality cyclic cohomology. The other is based on an extension of Connes' construction of the character of a cycle.

• Date: 2/12/02 (Tuesday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 7

• Date: 2/14/02 (Thursday)
  • no meeting

• Date: 2/19/02 (Tuesday)
  • no meeting

• Date: 2/21/02 (Thursday)
  • Speaker: Anne Louise Svendsen, UCSB
  • Title: On invariants for subfactors, Part 8

• Date: 2/26/02 (Tuesday)
  • no meeting

• Date: 2/28/02 (Thursday)
  • Speaker: Dietmar Bisch, UCSB
  • Title: II₁ factors with trivial fundamental group (after Popa), Part 1

• Date: 3/5/02 (Tuesday)
  • Speaker: Dietmar Bisch, UCSB
  • Title: II₁ factors with trivial fundamental group (after Popa), Part 2

• Date: 3/7/02 (Thursday)
  • no meeting

• Date: 3/12/02 (Tuesday)
  • Speaker: Dietmar Bisch, UCSB
  • Title: Entanglement - the spooky action at a distance
  • Abstract: Entanglement is a feature of quantum mechanics, which does not exist in classical physics. It expresses a correlation of two subsystems of a quantum physical system which appears naturally as soon as the commutative algebras of functions in classical physics are replaced by non-commutative algebras of operators (matrices) in quantum physics. Einstein called this phenomenum ``spooky action at a distance''. Entanglement is believed to be related to what speeds up a quantum computer and is currently the subject of intense study in quantum information science.
    
    I will discuss entanglement and show how it can be used to transmit quantum information on a classical channel (``quantum teleportation''). Then I plan to present some of the proposals of how to quantify entanglement, most of which have the flavor of entropy-like quantities in operator algebras.

• Past Operator Algebras Seminars