A few quick math\/physics items (OK, mostly math…):<\/p>\n
The usual way of calculating this is a Feynman diagram calculation that can be found in any QFT textbook that shows how to do calculations in gauge theory. Costello explains how to get the result in a very different way, using the self-dual theory, twistor space, and the Grothendieck-Riemann-Roch theorem.<\/li>\n
This semester at Bonn, he’s pursuing a project of generalizing geometry (lecture notes in progress here<\/a>) by defining and studying “Gestalten”, which are supposed to be a new sort of geometric object, for which there is “a perfect duality between geometry and algebra!”<\/p>\n For a nice write-up about Scholze’s work on a geometrization of real local Langlands, see here<\/a>.<\/p>\n At the late March 2026 Seminaire Bourbaki, Scholze will be lecturing on “Geometric Langlands, after Gaitsgory, Raskin, … “<\/li>\n<\/ul>\n Update<\/strong>: Both the Clay Mathematics Institute in Oxford and the CMSA at Harvard have organized talks about the Millenium problems to celebrate their 25th anniversary. The Clay Math talks are here<\/a>. CMSA so far has had talks on Poincare (Mike Freedman)<\/a> and the Yang-Mills mass gap (Sourav Chatterjee)<\/a>. Next up: Pierre Deligne on the Hodge Conjecture<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":" A few quick math\/physics items (OK, mostly math…): Contributions to next year’s ICM have already been written up by many speakers, and posted on the arXiv. Try this link to find them. There’s a wonderful new result from Kevin Costello … Continue reading