# NCMW - Representation theory of Real groups and Automorphic forms (2023)

## Venue: Harish-Chandra Research Institute, Prayagraj

## Dates: 2 Oct 2023 to 7 Oct 2023

**Convener(s)**

Name: |
Chandan Singh Dalawat | Dipendra Prasad | Aprameyo Pal |

Mailing Address: |
Professor H Harish-Chandra Research Institute Chhatnag Road, Jhunsi Prayagraj UP 211019 |
Professor Department of mathematics, IIT Bombay Infinite Corridor, Academic section Mumbai Maharashtra 400076 |
Reader F Harish-Chandra Research Institute Chhatnag Road, Jhunsi Prayagraj UP 211019 |

Email: |
dalawat at hri.res.in | prasad.dipendra at gmail.com | aprameyopal at hri.res.in |

In the workshop, we shall consider seven themes covering different aspects of the Representation theory of Real groups and Automorphic forms which would be followed up by an international conference on celebrating Harish-Chandra’s centenary : (1) Compact Lie groups, their representations, Weyl Character formula. (2) Classification of all irreducible representations of SL2 (R), Plancherel theorem for SL2(R). (3) Algebraic representation theory of real Lie groups through the introduction of (g, K) modules. (4) Admissibility theorems, Character theory, introduction to Harish-Chandra’s works on discrete series, and their characters. (5) Cohomological induction. (6) Notion of Automorphic representations due to Harish-Chandra. (7) Introduction to the Spectral

decomposition of L2 (G/Γ) due to Langlands.