Contents/conteúdo

Mathematics Department Técnico Técnico

Summer Lectures in Geometry  RSS

28/06/2011, 14:00 — 15:00 — Room P3.10, Mathematics Building
, Massachusetts Institute of Technology

Topological Automorphic Forms

Topological Automorphic Forms I: definition.

I will review the definition of certain moduli spaces of abelian varieties (Shimura varieties) which generalize the role that the moduli space of elliptic curves plays in number theory. Associated to these Shimura varieties are cohomology theories of Topological Automorphic Forms (TAF) which generalize the manner in which Topological Modular Forms are associated to the moduli space of elliptic curves. These cohomology theories arise as a result of a theorem of Jacob Lurie.

References

Doug Ravenel's web page for a seminar on topological automorphic forms contains a comprehensive list of references.

See also

https://www.math.tecnico.ulisboa.pt/~ggranja/SummerLect11_files/Behrenstalk2.pdf

For detailed overviews of each course see https://camgsd.tecnico.ulisboa.pt/encontros/slg/.

CAMGSD FCT