{"id":241,"date":"2023-11-09T11:20:24","date_gmt":"2023-11-09T11:20:24","guid":{"rendered":"https:\/\/hodge.maths.ed.ac.uk\/?page_id=241"},"modified":"2023-11-09T11:20:24","modified_gmt":"2023-11-09T11:20:24","slug":"reading-course-on-deformation-theory","status":"publish","type":"page","link":"https:\/\/hodge.maths.ed.ac.uk\/?page_id=241","title":{"rendered":"Reading Course on Deformation\u00a0Theory"},"content":{"rendered":"\n

Spring 2017<\/a><\/h2>\n\n\n\n


In the Spring Semester of 2017 we are holding an informal reading seminar on deformation theory. We will use two main sources, course notes by Mike Artin for a graduate course on deformation theory held at MIT in 1996, and the book Deformations of Algebraic Schemes<\/em> by Sernesi.<\/p>\n\n\n\n

Participants will take turns presenting selected material from these books.<\/p>\n\n\n\n

The seminar will take place in JCMB 5326 on Wednesdays, 4:30-5:30 PM during the semester.<\/p>\n\n\n\n

The tentative outline is as follows:<\/p>\n\n\n\n

Date<\/td>Topic<\/td>Speaker<\/td><\/tr>
<\/td><\/td><\/td><\/tr>
25 January<\/td>Artin, Sections 1-8<\/td>Alice Rizzardo<\/td><\/tr>
1 February<\/td>Artin, Sections 9 + 13-15<\/td>Sue Sierra<\/td><\/tr>
7 February in JCMB 4325A<\/td>Artin, Sections 16-20<\/td>Jenny August<\/td><\/tr>
15 February<\/td>(Versal) deformations of a fat point (Artin Section 18)<\/td>Matt Booth<\/td><\/tr>
22 February<\/td>No Lecture<\/td><\/td><\/tr>
1 March<\/td>Sernesi, Chapter 1 (Kodaira-Spencer theory)<\/td>Johan Martens<\/td><\/tr>
8 March<\/td>Sernesi, Sections 2.1-2.3 (Formal deformation theory and Schlessinger’s theorem)<\/td>Matt Booth<\/td><\/tr>
15 March<\/td>Sernesi, Section 2.4<\/td>Sjoerd Beentjes<\/td><\/tr>
22 March<\/td>Sernesi, Section 2.5+2.6<\/td>Roberto Fringuelli<\/td><\/tr>
29 March<\/td>Sernesi, Example from Chapter 3<\/td>Tim Weelinck<\/td><\/tr>
5 April<\/td>the Hilbert Scheme (out of Sernesi, Chapter 4)<\/td>Trang Nguyen<\/td><\/tr>
(12 April?)<\/td>Deformations of singularities (following Hartshorne)<\/td>Fatemeh Razaee<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

References used:<\/a><\/h3>\n\n\n\n