{"id":4154,"date":"2013-11-24T13:51:54","date_gmt":"2013-11-24T11:51:54","guid":{"rendered":"https:\/\/wpethzprd.ethz.ch\/kowalski\/?p=4154"},"modified":"2024-02-20T13:40:34","modified_gmt":"2024-02-20T11:40:34","slug":"trace-functions-a-survey","status":"publish","type":"post","link":"https:\/\/blogs.ethz.ch\/kowalski\/2013\/11\/24\/trace-functions-a-survey\/","title":{"rendered":"Trace functions, a survey"},"content":{"rendered":"

At last count, my series of works with \u00c9tienne Fouvry and Philippe Michel on trace functions and their applications consists of seven research papers or preprints, amounting to a bit more than 200 pages. To these are added a number of works-in-progress or partial notes (some with results we did not need or use and so took out of earlier drafts of our papers, some with worked-out examples or remarks, etc). We have a relatively firm project of writing a monograph account of the whole theory and applications, which we view in part as a way of making accessible some of the deep consequences of the Riemann Hypothesis over finite fields of Deligne, but this is clearly a long-term project. In the meantime, we have written a first short survey, the first draft of which can be found on my web page<\/a>. This is in fact the written (and slightly expanded) account of a Colloquio de Giorgi<\/i> that I gave at the
\n

\"[Scuola<\/a>
Scuola Normale Superiore<\/figcaption><\/figure><\/p>\n

Scuola Normale Superiore<\/a> in Pisa earlier this year, and we have included an unusual representation of the fundamental domain of the modular group acting on the upper half-plane as an homage and acknowledgement of this occasion.
\n

\"[Pisa]\"<\/a>
Pisa<\/figcaption><\/figure><\/p>\n","protected":false},"excerpt":{"rendered":"

At last count, my series of works with \u00c9tienne Fouvry and Philippe Michel on trace functions and their applications consists of seven research papers or preprints, amounting to a bit more than 200 pages. To these are added a number of works-in-progress or partial notes (some with results we did not need or use and … Continue reading Trace functions, a survey<\/span><\/a><\/p>\n","protected":false},"author":625,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,624,113],"tags":[],"class_list":["post-4154","post","type-post","status-publish","format-standard","hentry","category-blogroll","category-science","category-travel"],"_links":{"self":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts\/4154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/users\/625"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/comments?post=4154"}],"version-history":[{"count":0,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/posts\/4154\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/media?parent=4154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/categories?post=4154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ethz.ch\/kowalski\/wp-json\/wp\/v2\/tags?post=4154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}