University of California, Riverside - Department of Mathematics

Operator Algebras and related topics Seminar


In Spring 2010, the UCR Operator Algebras Seminar will meet on Wednesdays at 10:10-11:00 AM in room 277, Surge building.

Spring 2010:

April 7
Organizational meeting
April 14
Speaker: Aviv Censor
Title: Topological Degroupoidification
April 21
No meeting
April 28
Speaker: Aviv Censor
Title: Topological Degroupoidification (cont.)



Past Quarters

Winter 2010:

January 7
Organizational meeting
January 14
Speaker: Ricky Han
Title: A Planar Algebra Construction of the Haagerup Subfactor (cont.)
January 21
Speaker: Ricky Han
Title: A Planar Algebra Construction of the Haagerup Subfactor (cont.)
January 28
Speaker: Ricky Han
Title: A Planar Algebra Construction of the Haagerup Subfactor (cont.)
February 4
Speaker: Ricky Han
Title: A Planar Algebra Construction of the Haagerup Subfactor (cont.)
February 11
Speaker: Feng Xu
Title: A Subfactor Generalization of Wall's Conjecture
February 18
Unique lift of an action of the Temperley-Lieb algebra to a faithful action of the Fuss-Catalan algebra
Maria Grazia Viola, Lakehead University, Ontario, Canada
Abstract
February 25
Speaker: Feng Xu
Title: A Subfactor Generalization of Wall's Conjecture (cont.)
March 4
Speaker: Feng Xu
Title: A Subfactor Generalization of Wall's Conjecture (cont.)
March 11
No meeting

Fall 2009:

September 29
Organizational meeting
October 6
Speaker: Marta Asaeda
Title: On 3-Manifold Invariants
October 13
Speaker: Marta Asaeda
Title: On 3-Manifold Invariants (cont.)
October 20
Speaker: Marta Asaeda
Title: On 3-Manifold Invariants (cont.)
October 27
Speaker: Marta Asaeda
Title: On 3-Manifold Invariants (cont.)
November 3
No Meeting
November 10
Speaker: Marta Asaeda
Title: On 3-Manifold Invariants (cont.)
November 17
Speaker: Ricky Han
Title: A Planar Algebra Construction of the Haagerup Subfactor
November 24
Speaker: Ricky Han
Title: A Planar Algebra Construction of the Haagerup Subfactor (cont.)
December 1
Speaker: Ricky Han
Title: A Planar Algebra Construction of the Haagerup Subfactor (cont.)

Spring 2009:

April 1
Speaker: Marta Asaeda
Title: Khovanov Homology
April 8
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)
April 15
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)
April 22
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)
April 29
No meeting
May 6
Speaker: Feng Xu
Title: Intermediate Subfactor Lattices
May 13
Speaker: Feng Xu
Title: Intermediate Subfactor Lattices (cont.)
May 19, 2:10-3:00 pm, Surge 284 (note unusual time and place!)
Super Virasoro Algebra and Noncommutative Geometry
Yasuyuki Kawahigashi, University of Tokyo
Abstract
May 26
No meeting
June 3
Blob Homology
Scott Morrison, Microsoft Station Q at UC Santa Barbara
Abstract
June 3 (4 pm, Surge 284)
Colloquium:
Classifying Subfactor Planar Algebras
Scott Morrison, Microsoft Station Q at UC Santa Barbara
Abstract

Winter 2009:

January 14
Speaker: Jason Wong
Title: A Bi-Unitary Connection of a Graph
January 21
Speaker: Jason Wong
Title: A Bi-Unitary Connection of a Graph (cont.)
January 28
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras
January 28
Colloquium:
Rigidity in Orbit Equivalence and von-Neumann Algebras
Adrian Ioana, Clay institute/Caltech
Abstract
February 4
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)
February 11
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)
February 18
No meeting
February 25
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)
March 4
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)
March 11
Speaker: Richard Han
Title: Skein Theory for the D_2n Planar Algebras (cont.)

Fall 2008:

September 30
Organizational meeting
October 7
Speaker: Richard Han
Title: The Kauffman Bracket and the Jones Polynomial (part 1)
October 14
Speaker: Richard Han
Title: The Kauffman Bracket and the Jones Polynomial (part 2)
October 21
Speaker: Marta Asaeda
Title: Introduction to Khovanov Homology (part 1)
October 28
No meeting
November 4
Speaker: Marta Asaeda
Title: Introduction to Khovanov Homology (part 2)
November 11
No meeting (Veterans Day)
November 18
Speaker: Marta Asaeda
Title: Introduction to Khovanov Homology (part 3)
November 25
Speaker: Marta Asaeda
Title: Introduction to Khovanov Homology (part 4)
December 2
Speaker: Marta Asaeda
Title: Introduction to Khovanov Homology (part 5)

Spring 2008:

April 2
Speaker: Feng Xu
Title: Introduction to Intermediate Subfactor Lattice
April 7
Speaker: Feng Xu
Title: Intermediate Subfactor Lattice and Conformal Field Theory (part 1)
April 14
Speaker: Feng Xu
Title: Intermediate Subfactor Lattice and Conformal Field Theory (part 2)
April 21
No Meeting
April 28
Speaker: Marta Asaeda
Title: Classification of Subfactors (part 1)
May 5
Speaker: Richard Han
Title: The Double Commutant Theorem
May 12
Speaker: Richard Han
Title: The Gelfand-Naimark Theorem
May 19
Speaker: Marta Asaeda
Title: Classification of Subfactors (part 2)
June 2
Speaker: Jason Wong
Title: Principal Graphs and Subfactors
June 5 (special seminar - Surge 268, 4:30-5:30 pm)
Speaker: Emily Peters (UC Berkeley)
Title: Introduction to Planar Algebras
Abstract: Planar algebras are a picture-based gadget that make it possible to connect topological objects, like knots, to algebraic objects, like polynomials. They were introduced in order to justify "proof by pictures" in subfactor theory. In this talk, I will define planar algebras and give as many examples as time permits. No background is assumed.
June 6 (special seminar - Surge 268, 1:00-2:00 pm)
Speaker: Emily Peters (UC Berkeley)
Title: Planar Algebras and Knots
Abstract: Knot diagrams, and the Temperley-Lieb algebra, are the simplest examples of planar algebras. An easy-to-define map between the two gives the Jones polynomial. Slight variations on this map, and the planar algebras involved, give rise to other knot invariants, such as the colored Jones polynomials and the D(2n) polynomials (joint work with Scott Morrison and Noah Snyder).

Winter 2008:

January 8
Organizational meeting
January 15
No seminar (special colloquim)
January 22
Speaker: Aviv Censor
Title: An Introduction to Groupoid C*-Algebras (part 1)
Abstract: We will give an elementary exposition to the theory of groupoids, and describe how one constructs C*-algebras corresponding to groupoids.
January 29
No seminar (special colloquim)
February 5
Speaker: Aviv Censor
Title: An Introduction to Groupoid C*-Algebras (part 2)
February 12
No seminar (special colloquim)
February 19
Speaker: Aviv Censor
Title: An Introduction to Groupoid C*-Algebras (part 3)
February 26
Speaker: Aviv Censor
Title: An Introduction to Groupoid C*-Algebras (part 4)
March 4
Speaker: Aviv Censor
Title: Limits of Groupoid C*-Algebras (part 1)
Abstract: Let T be a compact Hausdorff space. Raeburn and Taylor associated groupoid C*-algebras to open covers of T, and showed that any element in the Brauer group of T can be realized by such an algebra. We study the asymptotic behavior of the Raeburn-Taylor C*-algebras related to a sequence of open cover refinements. This is accomplished via a limit groupoid G which we construct, along with a groupoid 2-cocycle. Our main result presents the groupoid C*-algebra of G as a certain generalized direct limit of the Raeburn-Taylor algebras. As a special case, our construction produces all UHF C*-algebras as algebras of the form C*(G). This talk is based on joint work with Daniel Markiewicz.
March 11
Speaker: Aviv Censor
Title: Limits of Groupoid C*-Algebras (part 2)