Thesis supervisor: Gergely Zábrádi
Location of studies (in Hungarian): Algebra and Number Theory Abbreviation of location of studies: ELTE
Description of the research topic:
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.
Further requirements: 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.
Number of students who can be accepted: 1
Deadline for application: 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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