{"id":4975,"date":"2012-08-03T11:08:03","date_gmt":"2012-08-03T15:08:03","guid":{"rendered":"http:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=4975"},"modified":"2012-08-03T11:23:06","modified_gmt":"2012-08-03T15:23:06","slug":"interviews-with-vladimir-voevodsky","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=4975","title":{"rendered":"Interview(s) with Vladimir Voevodsky"},"content":{"rendered":"<p>Vladimir Voevodsky is a mathematics professor at the IAS in Princeton, most famous for his proof of the Bloch-Kato conjecture, work which won him a Fields Medal in 2002.  This conjecture relates the K-theory of fields and their &eacute;tale cohomology (note that there are other, different, Bloch-Kato conjectures on special values of L-functions).  For a description of Voevodsky&#8217;s ideas from 2002, see <a href=\"http:\/\/arxiv.org\/abs\/math\/0212418\">this<\/a> by Soul&eacute;.  The proof of Bloch-Kato was only finished later, including work by other people, for more about this see Weibel&#8217;s <a href=\"http:\/\/www.math.rutgers.edu\/~weibel\/motivic2006.html\">lectures on the proof<\/a>, or <a href=\"http:\/\/www.dailymotion.com\/video\/x8jeme_colloque-grothendieck-vladimir-voev_tech\">Voevodsky&#8217;s talk<\/a> at the IHES conference honoring Grothendieck.  For a popular talk by Voevodsky, see &#8220;An Intuitive Introduction to Motivic Homotopy Theory&#8221;, video <a href=\"http:\/\/www.youtube.com\/watch?v=b4BlA7NymIE\">here<\/a>, write-up <a href=\"http:\/\/www.cwru.edu\/artsci\/phil\/Voevodsky.pdf\">here<\/a>.<\/p>\n<p>Voevodsky has had a somewhat unusual career, for an interview from 2002 where he discusses his early years in Moscow and at Harvard, see <a href=\"http:\/\/tangentialia.wordpress.com\/2010\/08\/03\/olga-orlova-and-the-fields-medallists-part-ii\/\">here<\/a>.  A recent interview with him by Roman Mikhailov in two parts has appeared (in Russian, I&#8217;m relying on Google Translate to get the gist of it) <a href=\"http:\/\/baaltii1.livejournal.com\/198675.html\">here<\/a> and <a href=\"http:\/\/baaltii1.livejournal.com\/200269.html\">here<\/a>.  He describes what appear to be various delusional episodes, especially during a period in 2006 and 2007 when he was unable to work.<\/p>\n<p>In recent years he has moved away from his work on K-theory, towards topics in applied math (for a while he was investigating population genetics) and foundations of mathematics.  This year the IAS will run a year-long program he is organizing on what he calls <a href=\"http:\/\/www.math.ias.edu\/sp\/univalent\/goals\">Univalent Foundations of Mathematics<\/a>.  Back in 2010 he gave a popular talk at the IAS, entitled <a href=\"http:\/\/video.ias.edu\/voevodsky-80th\">What if Current Foundations of Mathematics are Inconsistent?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vladimir Voevodsky is a mathematics professor at the IAS in Princeton, most famous for his proof of the Bloch-Kato conjecture, work which won him a Fields Medal in 2002. This conjecture relates the K-theory of fields and their &eacute;tale cohomology &hellip; <a href=\"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=4975\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-4975","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/4975","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4975"}],"version-history":[{"count":8,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/4975\/revisions"}],"predecessor-version":[{"id":4983,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/4975\/revisions\/4983"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4975"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4975"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}