Étale cohomology - 10/8/2020 Prismatic Cohomology: Unifying Crystalline & Étale Theories (Beginner's Guide) End of the proof, Weil II, applications to semisimplicity of geometric monodromy and to Chebotarev.
Extension by zero, compactly supported cohomology, beginning of proper base change. Pushforwards, sheaves on the etale site, sheafification, stalks, the category of sheaves is abelian. Étale cohomology - September 8, 2020
This talk explains the relation between the Lefschetz fixed point formula and the Weil conjectures. More precisely, the zeta Étale Cohomology --Ducros
In order to provide an accessible introduction to étale cohomology, JS Milne offers this more elementary account covering the essential features of the theory. Étale cohomology - 12/3/2020 We develop a six functor formalism for the étale cohomology of diamonds, and more generally small v-stacks on the category of perfectoid spaces of
étale cohomology in nLab Chapter 59 (03N1): Étale Cohomology—The Stacks project Étale cohomology 9/15/2020
Enough injectives, derived functors. Weil conjectures 6: etale cohomology of a curve
Etale cohomology There are the following books: Freitag, E., and Kiehl, R., Etale Cohomology and the Weil Conjecture, Springer, 1988. Milne, J., Etale Étale Cohomology (PMS-33), Volume 33
Étale cohomology 9/10/2020 Part 1 The etale topology is meant to be a finer topology than Zariski that makes sense for varieties over any field. For varieties over C its not
Artin comparison, intro to pi_1. Lectures on etale cohomology
Traditional étale cohomology (eg Deligne 77) is the abelian sheaf cohomology for sheaves on the étale site of a scheme. Weil conjectures 5: Lefschetz trace formula
p-adic etale cohomology In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients. Étale cohomology - 11/19/2020
This is a well-defined étale presheaf since the base change of an étale morphism is again étale, 4 ´Etale Cohomology. 4.1 Colimits. Let us start by recalling Čech cohomology part II, Čech-to-derived spectral sequence, Mayer-Vietoris, étale cohomology of quasi-coherent sheaves, the
Etale Cohomology and the Weil Conjectures Étale cohomology - 12/1/2020 Étale cohomology - 11/12/2020
Poincaré duality, trace maps. Étale cohomology - 12/15/2020
Cohomology of Lefschetz fibrations, an example, vanishing cycles, Kazhdan Margulis. This was prepared for Matt Satriano's PMATH 965 course on algebraic stacks at the University of Waterloo in the Winter 2022 term
Etale cohomology fixes this problem by defining a cohomology from the covers of a space. This is a standard algebro-topological phenomena: e.g. Cup products, Kunneth, projection formula, cycle class maps (warning: my internet was unreliable today, so may be a bit choppy
Étale cohomology - Wikipedia Lefschetz fixed point formula, rationality of Weil zeta functions, functional equation. Perfect complexes, Lefschetz trace formula with torsion coefficients, intro to the main lemma.
Étale Cohomology - 9/29/2020 Hilbert's theorem 90, étale cohomology of G_m in low degrees, the Kummer sequence, cohomology of mu_l and Z/lZ in low
Embark on a journey into the fascinating world of Prismatic Cohomology! This video offers a beginner-friendly introduction to Étale cohomology - 11/10/2020
The MAIN LEMMA, Lefschetz pencils, sketch of proof of RH, beginning of proof of Main Lemma. Étale cohomology - 11/24/2020 ´Etale Cohomology
Etale cohomology of diamonds Étale cohomology - 10/15/2020 Brauer groups, Severi-Brauer schemes, Azumaya algebras, twisted sheaves.
nt.number theory - Etale cohomology -- Why study it? - MathOverflow Étale cohomology - 10/13/2020 Finiteness, Z_l-sheaves.
Étale cohomology - 10/22/2020 Étale cohomology - October 29, 2020 The Role of Etale Topology and Cohomology in AG : r/math
We give an overview of how to calculate the etale cohomology of a nonsinguar projective curve over an algebraically closed field Proof of the MAIN LEMMA, cohomology of Lefschetz pencils.
S. SPENCER BLOCH. KAZUYA KATO p-adic etale cohomology. Publications mathématiques de l'I.H.É Recording during the meeting "p-adic Langlands Correspondence, Shimura Varieties and Perfectoids" the July 04, 2018 at the an open source textbook and reference work on algebraic geometry.
Étale cohomology, 11/3/2020 Poincaré and Verdier duality, Lefschetz fixed point formula. Étale cohomology - 10/6/2020
Purity, the Gysin sequence, cohomology of projective space, elementary fibrations, statement of Artin comparison. Étale Cohomology - 9/22/2020
Proper base change continued, compactly supported cohomology, cohomology with supports, Gysin sequences and purity. Gabriel Dospinescu: Integral p-adic étale cohomology of Drinfeld spaces