View Proposal #192
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| ID | 192 |
|---|---|
| First Name | Chris |
| Last Name | Kurth |
| Institution | Iowa State University |
| Speaker Category | graduate student |
| Title of Talk | Farey Symbols and subgroups of $SL_2(Z)$ |
| Abstract | The structure of subgroups of SL_2(Z) (2x2 integer coefficient matrices with determinant 1) is important in the study of modular forms. Associated to these subgroups is an object called a Farey Symbol which contains the structure of the group in a very compact form. For instance, from the Farey Symbol one can easily calculate an independent set of generators for the group, a coset decomposition, and determine if the group is congruence. In this talk, I will discuss finite index subgroups of SL_2(Z)$ and the computation and use of Farey Symbols for these subgroups. |
| Subject area(s) | Number Theory |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | |
| Bringing a laptop? | Y |
| Overhead Needed? | N |
| Software requests | |
| Special Needs | |
| Date Submitted | 4/5/2007 |
| Year | 2007 |