NIU Department of Mathematical Sciences
This Week's Colloquium and Seminars
February 6-10, 2012
Graduate School Colloquium And Seminar
Cosponsored by the
Graduate Colloquium Committee and the Department of Mathematical Sciences
| Graduate Colloquium: | Thursday, Feb. 9, 4:00-5:00 in DU 268 | |||||||||||||||||||||
| Speaker: | Prof. Dmitri Nikshych, University of New Hampshire | |||||||||||||||||||||
| Title: |
Tensor categories and representation theory
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| Abstract: |
The concept of a tensor category was fully appreciated
during the last two decades of 20th century when the Tannakian
duality was formulated and quantum groups were introduced.
| In this talk I will explain how one can arrive to tensor categories starting from representations of finite groups and discuss their structural theory and classification results. Coffee and refreshments at 3:30 in Watson
322
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| Graduate Seminar | Friday, Feb. 10 at 4:00-5:00 in DU 348
| Speaker: |
Prof. Dmitri Nikshych, University of New Hampshire
| Title: |
On the Witt group of braided fusion categories
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| Abstract: |
This is a report on my joint work with A. Davydov, M. Müger,
and V. Ostrik. The classical Witt group is the quotient of
the monoid of quadratic forms on finite Abelian groups by
hyperbolic quadratic forms. Likewise, the categorical
Witt group $W$ is defined as the quotient of monoid of
non-degenerate braided fusion categories by Drinfeld centers.
| In this talk I will describe the structure of the categorical Witt group $W$. Unlike the classical Witt group it has both torsion part and free part. I will also explain the role of etale algebras in the study of the Witt group. Coffee and refreshments at 3:30 in Watson
322
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Seminars
| Algebra Seminar: | Tuesday, Feb. 7, 3:00-4:00 p.m. in DU 274 | |
| No information received yet | ||