ISITE-BFC Open research project \u00ab\u00a0MYAV\u00a0\u00bb (+picture)<\/p>\n
Motivic invariants of algebraic varieties Fr\u00e9d\u00e9ric DEGLISE, CNRS\/IMB in collaboration with LMB<\/p>\n
It is a \u00a0major insight of the preceding two centuries that one can use a \u00a0geometrical language to study the \u00a0olutions of a given set of polynomial \u00a0equations with coefficients in an arbitrary field, such as the \u00a0omplex numbers \u00a0or even in an arbitrary ring, such as the integers. The corresponding objects, \u00a0called \u00a0lgebraic varieties, are extremely rich and mysterious due to their \u00a0dual nature, geometric and \u00a0rithmetic. The driving force of the project is the use of the recent and \u00a0powerful theory of motivic A1- omotopy introduced by \u00a0Voevodsky to produce new, and study classical, invariants of \u00a0algebraic \u00a0arieties of both geometric and arithmetic nature. \u00a0The expected applications have a very wide range: \u00a0dvances \u00a0in the understanding of Voevodsky\u2019s theory, producing new \u00a0knowledge in affine algebraic \u00a0eometry, extending previously \u00a0known computations of invariants for families of algebraic \u00a0varieties, \u00a0nd improvement of our arithmetical knowledge of \u00a0certain kinds of algebraic varieties.<\/p>\n","protected":false},"excerpt":{"rendered":"
ISITE-BFC Open research project \u00ab\u00a0MYAV\u00a0\u00bb (+picture) Motivic invariants of algebraic varieties Fr\u00e9d\u00e9ric DEGLISE, CNRS\/IMB in collaboration with LMB It is a \u00a0major insight of the preceding two centuries that one can use a \u00a0geometrical language to study the \u00a0olutions of a given set of polynomial \u00a0equations with coefficients in an arbitrary field, such as the […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-421","post","type-post","status-publish","format-standard","hentry","category-unclassified"],"acf":[],"_links":{"self":[{"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=\/wp\/v2\/posts\/421","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=421"}],"version-history":[{"count":2,"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=\/wp\/v2\/posts\/421\/revisions"}],"predecessor-version":[{"id":423,"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=\/wp\/v2\/posts\/421\/revisions\/423"}],"wp:attachment":[{"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=421"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=421"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gradschool.eiphi.ubfc.fr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=421"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}