Presented by: 
Masoud Kamgarpour, UQ
Tue 29 Oct, 3:00 pm - 4:30 pm
Room 442, Building 67

In a letter to his sister, Andre Weil likened his research to a quest to decipher the "Rosetta Stone of Mathematics". The three mathematical languages appearing on this imaginary stone are: number theory, curves over finite fields, and Riemann surfaces. In this talk, we start with the notion of depth of a representation of a p-adic group (a number-theoretic concept) and translate it to obtain the corresponding notion in the Riemann surfaces' column. It is expected that depths of representations is preserved under the local Langlands correspondence. We also translate this statement to the third column of our Rosetta stone, and end up with a statement regarding the depth of representations of affine Kac-Moody algebras (Based on joint work with Tsai Hsien Chen.)