View Proposal #373
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| ID | 373 |
|---|---|
| First Name | Ryan |
| Last Name | Johnson |
| Institution | Iowa State University |
| Speaker Category | graduate student |
| Title of Talk | Some Gauss Sums found in Category Theory |
| Abstract | I will present a 21st century problem that requires some 18th century mathematics. Fusion categories lie in the intersection of group theory, knot theory, and quantum physics. If one is given a fusion category, a sequence of complex numbers can be computed which are called the Frobenius-Schur indicator. In this talk I will consider a particular subclass of fusion categories whose data is defined using a finite abelian group and a bilinear form on that group. Computing the indicator of these categories requires the use of quadratic Gauss sums. The aim of my research is to show the uniqueness of the indicator on this particular subclass of fusion categories. |
| Subject area(s) | Group Theory |
| Suitable for undergraduates? | Y |
| Day Preference | none |
| Computer Needed? | |
| Bringing a laptop? | |
| Overhead Needed? | |
| Software requests | |
| Special Needs | |
| Date Submitted | 10/04/2013 |
| Year | 2013 |