Marie-France Vignéras- Modular Representations of P-Adic Groups

Explore the theory of modular representations of p-adic groups in this 56-minute lecture by Marie-France Vignéras, presented at the International Mathematical Union. Delve into the essential role of complex representations of reductive p-adic groups, such as GL(2;Qp), within the Langlands program. Examine the connections between this theory and number theory and geometry, focusing on representations in vector spaces over fields other than complex numbers, including finite fields and Z[1=p]. Gain an overview of the main challenges in this area and learn about recent advancements. Access accompanying slides for a comprehensive understanding of this advanced mathematical topic.