# Mathematics Colloquia and Seminars

### Toda tau functions with quantum torus symmetries

Mathematical Physics & Probability

 Speaker: Kanehisa Takasaki, Kyoto University Location: 1147 MSB Start time: Wed, Mar 30 2011, 4:10PM

The quantum torus algebra plays an important role in a special class of solutions of the Toda hierarchy. Typical examples are the solutions related to the melting crystal model of topological strings and 5D SUSY gauge theories. The quantum torus algebra is realized by a 2D complex free fermion system that underlies the Toda hierarchy, and exhibits mysterious "shift symmetries". This talk is based on collaboration with Toshio Nakatsu.