témavezető: Zábrádi Gergely
helyszín (magyar oldal): Algebra and Number Theory helyszín rövidítés: ELTE
A kutatási téma leírása:
The p-adic Langlands programme is a newly emerging task of fundamental importance on the frontier of number theory and representation theory. The goal is to match p-adic (and modulo p) representations of p-adic linear groups coming from automorphic forms with p-adic (and mod p) Galois representations of local fields, preferably in a functorial way. Functors in both directions have been constructed in recent years (through the work of Breuil, Colmez, Schneider, Vigneras, and the current supervisor), however, it is widely open whether they indeed realize such a correspondence. The project is to test these functors on certain automorphic/Galois representations, prove some conjectured properties of them, and hopefully construct special cases of a p-adic Langlands correspondence.
további elvárások: solid knowledge of introductory algebraic number theory and of group representations is essential. Further background on algebraic geometry, homological algebra, and/or on local class field theory would also be welcome, but not necessary.
felvehető hallgatók száma: 1
Jelentkezési határidő: 2017-05-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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