| Friday 26 April 2024 | |
| Events for day: Monday 14 December 2020 |
| 16:00 - 17:00 Mathematics Colloquium Shtukas and the Analogy Between Number Fields and Function Fields School MATHEMATICS During the last decades lots of efforts have been invested in developing A. Weil's discourse on the analogy in mathematics. This method essentially aims to bring number theory into the light of geometry, through a bridge called the arithmetic of function fields. In this context, and as it may be observed through Langlands philosophy, moduli spaces (/stacks) for global G-shtukas appear as analogs for Shimura varieties, and consequently, they play a crucial role in Langlands program over function fields. They possess local counterparts which are called Rapoport-Zink spaces for local P-shtukas (i.e. function fields analogs for Rapoport-Zink sp ... 16:00 - 17:00 Mathematics Colloquium Shtukas and the Analogy Between Number Fields and Function Fields School MATHEMATICS During the last decades lots of efforts have been invested in developing A. Weil's discourse on the analogy in mathematics. This method essentially aims to bring number theory into the light of geometry, through a bridge called the arithmetic of function fields. In this context, and as it may be observed through Langlands philosophy, moduli spaces (/stacks) for global G-shtukas appear as analogs for Shimura varieties, and consequently, they play a crucial role in Langlands program over function fields. They possess local counterparts which are called Rapoport-Zink spaces for local P-shtukas (i.e. function fields analogs for Rapoport-Zink sp ... |