# Representations of Compact Special Linear Groups of Degree Two

*Hassain Maliyekkal (The Institute of Mathematical Sciences, Chennai, India)*

**30-Apr-2021, 09:30-10:30 (13 months ago)**

**Abstract: **Let $\mathcal{O}$ be the ring of integers of a non-Archimedean local field and $\wp$ be its maximal ideal. In this talk, our focus is on the construction of the continuous complex irreducible representations of the group $\mathrm{SL}_2(\mathcal{O})$ and to describe their representation growth. We will also discuss some results about group algebras of $\mathrm{SL}_2(\mathcal{O}/{\wp}^r)$ for large $r$.

combinatoricsrings and algebrasrepresentation theory

Audience: researchers in the topic

**ARCSIN - Algebra, Representations, Combinatorics and Symmetric functions in INdia **

**Series comments: **Timings may vary depending on the time zone of the speakers.

Organizers: | Amritanshu Prasad*, Apoorva Khare*, Pooja Singla*, R. Venkatesh* |

*contact for this listing |

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