Introduction to automorphic forms
Introductory course on automorphic forms and representations, covering the cases of GL(1) and GL(2).
Lecturer
Date
3rd March ~ 28th May, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 15:20 - 16:55 | A3-1a-204 | ZOOM 11 | 435 529 7909 | BIMSA |
Prerequisite
Basic representation theory
Syllabus
1. Introduction. Definitions and examples.
2. Automorphic forms and L-functions.
3. Automorphic forms on GL(1). Adeles.
4. Automorphic forms and Galois representations.
5. Automorphic forms on GL(2).
2. Automorphic forms and L-functions.
3. Automorphic forms on GL(1). Adeles.
4. Automorphic forms and Galois representations.
5. Automorphic forms on GL(2).
Reference
1) H. Iwaniec, Topics in classical automorphic forms, AMS 1997
2) D. Bump, Automorphic forms and representations, CUP 1996
3) D.Goldfeld, J.Hundley, Automorphic representations and L-functions for the general linear group I, CUP 2011
2) D. Bump, Automorphic forms and representations, CUP 1996
3) D.Goldfeld, J.Hundley, Automorphic representations and L-functions for the general linear group I, CUP 2011
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
Video Public
Yes
Notes Public
No
Language
English
Lecturer Intro
Sergey Oblezin received his PhD at Moscow Institute of Physics and Technology in 2004. Education in Moscow and work experience at the Alikhanov Institute for Theoretical and Experimental Physics shaped his intra-disciplinary vision in mathematics, based on a unique and mutually transformative synthesis of quantum physics and mathematics. At early stage, his research achievements were recognized by several awards including two Russian Federation President Fellowships for young mathematicians (in 2007-2008 and 2008-2009). In 2009-2012, Sergey's research was awarded by the Pierre Deligne Prize (supported by P.Deligne's Balzan Prize, 2004). In 2013-17 Sergey's project "Topological field theories, Baxter operators and the Langlands programme" was supported by the Established Career EPSRC grant (UK). During 2015-2023, Sergey was an Associate Professor in Geometry at the University of Nottingham (UK), before taking his current full-time Professor position at BIMSA in 2024. Sergey Oblezin is working on a long term research project devoted to transferring and developing methods and constructions of quantum physics to the Langlands Program. His research interests include representation theory, harmonic analysis and their interactions with number theory and mathematical physics.