In these expository notes derived categories and functors are gently introduced, and used along with Koszul complexes to develop the basics of local cohomology. Local duality and its far-reaching generalization, Greenlees-May duality, are treated. A canonical version of local duality, via differentials...
Automorphic forms on GSp(4), a survey - Ramin Takloo-Bighash 01:03:10 A family of Jacobians with definite QM - John Voight 01:04:04 A”height-free” effective isogeny estimate for GL2-type abelian varieties - Leve 01:03:09 Local Shimura varieties and their cohomology - David Hans...
ofsmoothmanifoldsrelyingentirelyonthemethodsofcalculus.Inwritingthischapterwecouldnot,andwouldnotescapethein,uenceofthebeautifulmonograph[17],andthisexplainsthefrequentoverlaps.Inthe,rstsectionweintroducetheDeRhamcoho-mologyandtheMayer-Vietoristechnique.Section2isdevotedtothePoincar´eduality,afeaturewhichsetstheman...