{"id":564,"date":"2018-08-23T11:04:58","date_gmt":"2018-08-23T18:04:58","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=564"},"modified":"2018-08-23T11:04:58","modified_gmt":"2018-08-23T18:04:58","slug":"jan-derezinski-university-of-warsaw","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2018\/08\/23\/jan-derezinski-university-of-warsaw\/","title":{"rendered":"Jan Derezi\u0144ski (University of Warsaw)"},"content":{"rendered":"<p>\t\t\t\tThe Analysis and PDE seminar will take place Monday, Aug 27, in 740 Evans from 4-5pm.<\/p>\n<p>Title: Balanced geometric Weyl quantization with applications to QFT on curved spacetimes<\/p>\n<p>Abstract: First I will describe a new pseudodifferential calculus for (pseudo-)Riemannian spaces, which in our opinion (my, D.Siemssen&#8217;s and A.Latosi\u0144ski&#8217;s) is the most appropriate way to study operators on such a manifold. I will briefly describe its applications to computations of the asymptotics the heat kernel and Green&#8217;s operator on Riemannian manifolds. Then I will discuss analogous applications to Lorentzian manifolds, relevant for QFT on curved spaces. I will mention an intriguing question of the self-adjointness of the Klein-Gordon operator. I will describe the construction of the (distinguished) Feynman propagator on asymptotically static spacetimes. I will show how our pseudodifferential calculus can be used to compute the full asymptotics around the diagonal of various inverses and bisolutions of the Klein-Gordon operator.\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Analysis and PDE seminar will take place Monday, Aug 27, in 740 Evans from 4-5pm. Title: Balanced geometric Weyl quantization with applications to QFT on curved spacetimes Abstract: First I will describe a new pseudodifferential calculus for (pseudo-)Riemannian spaces, which in our opinion (my, D.Siemssen&#8217;s and A.Latosi\u0144ski&#8217;s) is the most appropriate way to study [&hellip;]<\/p>\n","protected":false},"author":108,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-564","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/564","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/108"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=564"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/564\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}