Teacher: Denis Benois<\/p>\n
Program<\/p>\n
1) Galois absolute group of local fields. Ramification filtration.
\n2) Witt vectors.
\n3) p-adic representations of a field of characteristic p.
\nHilbert 90\u00a0for \u00a0GL(n).
\n3) Fontaine approach: B-admissible representations. Examples
\n4)\u00a0 Sen Theory. Hodge-Tate representations.
\n5) Ring of padic periods.
\n6) Formal groups. Lubin-Tate Theory. p-adic periods of formal groups.
\n7) Filtered Dieudonn\u00e9’s modules.
\n8) Classification of p-adic representations (crystalline, semistable,
\nde Rham).
\n9) Wealy admissible representations. Fontaine conjecture.
\nCase\u00a0of formal groups\u00a0of dimension 1.<\/p>\n
If time permits:
\n10) Introduction\u00a0to the Fontaine-Fargues curve.<\/p>\n","protected":false},"excerpt":{"rendered":"
Teacher: Denis Benois Program 1) Galois absolute group of local fields. Ramification filtration. 2) Witt vectors. 3) p-adic representations of a field of characteristic p. Hilbert 90\u00a0for \u00a0GL(n). 3) Fontaine approach: B-admissible representations. Examples 4)\u00a0 Sen Theory. Hodge-Tate representations. 5) Ring of padic periods. 6) Formal groups. Lubin-Tate Theory. p-adic periods of formal groups. 7) … Continue reading “p-adic Hodge Theory”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":4,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-363","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/pages\/363","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/comments?post=363"}],"version-history":[{"count":3,"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/pages\/363\/revisions"}],"predecessor-version":[{"id":487,"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/pages\/363\/revisions\/487"}],"up":[{"embeddable":true,"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/pages\/4"}],"wp:attachment":[{"href":"https:\/\/uf-mi.u-bordeaux.fr\/algant\/index.php\/wp-json\/wp\/v2\/media?parent=363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}