On the integral cohomology of bianchi groups request pdf. This is a survey article on the theory of fusion systems, a rela. Composition of homomorphisms or of any other maps is always taken. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Langlands correspondence article keywords annals of. On brauers theorem on sections in the theory of blocks of. Functoriality, smith theory, and the brauer homomorphism. Download city research online city, university of london. The method involves constructing an action of the hecke algebra on the fundamental exact sequence of smith theory arising from the action by conjugation of an element of order p in gl p. David treumann, akshay venkatesh submitted on 9 jul 2014. In the case of siegel modular forms, the authors found. Functoriality, smith theory, and the brauer homomorphism jstor. Functoriality, smith theory, and the brauer homomorphism by david treumann and akshay venkatesh abstract if a is an automorphism of order p of the semisimple group g, there is a natural correspondence between mod p cohomological automorphic forms on g and g.
We describe this correspondence in the global and local settings. An example of a product of two diagrams in given in figure 2. Functoriality, smith theory, and the brauer homomorphism arxiv. The asymptotic growth of torsion homology for arithmetic groups volume 12 issue 2 nicolas bergeron, akshay venkatesh.
Functoriality, smith theory, and the brauer homomorphism created date. Brauer, r on the connection between the ordinary and the modular characters of groups of finite order. Functoriality, smith theory, and the brauer homomorphism annals. Differential operators on modular forms mod p request pdf. By classical reduction theory that goes back to bianchi 10 the groups sl2od are. Pages 177228 from volume 183 2016, issue 1 by david treumann, akshay venkatesh. Functoriality, smith theory, and the brauer homomorphism pages 177228 by david treumann, akshay venkatesh from volume 1831 on the fibration method for zerocycles and rational points. Further reproduction prohibited without permission. Functoriality, smith theory, and the brauer homomorphism pages 177228 by david treumann, akshay venkatesh from volume 1831 kloosterman sheaves for reductive groups. Self determination theory and potential applications to. David treumanns research works boston college, usa, boston.
Sorry, we are unable to provide the full text but you may find it at the following locations. Functoriality, smith theory, and the brauer homomorphism by david treumann and akshay venkatesh download pdf 649 kb. Brauer spaces for commutative rings and structured ring. Functoriality, smith theory, and the brauer homomorphism pages 177228 from volume 183. Results for all events from 20140701 to 20150630 future or past events may be found by using the search tab above.
I havent spent much time after the lectures cleaning them up so there are probably lots of typos. Brauer groups and morita theory, whitehead groups and simple homo. We give many examples where this is so, and conjecture precise conditions. Akshay venkateshs research works stanford university, ca su. Pdf document information annals of mathematics fine hall washington road princeton university princeton, nj 08544, usa phone. Torsion homology growth in arithmetic groups imjprg. The asymptotic growth of torsion homology for arithmetic. Finiteness of brauer and x 5 returning to the original problem, we can now write down the leray spectral sequenceforf,placingall0sinthesecondrow. The mod p kernel of the theta operator is the set of modular forms whose image of the theta operator is congruent to zero modulo a prime p. For example, gepner and lawson are studying the situation of galois.
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