Hello everyone,

Tomorrow we have Achinta speaking in seminar. The link will be: https://meet.google.com/frv-bgow-byi

His title and info can be found here: Title: Some results on the local topology of algebraic sets Speaker: Achinta Nandi, Oklahoma State University Date: Oct 7, 2020 Time: 3:45 PM Room: https://meet.google.com/frv-bgow-byi [https://www.gstatic.com/images/branding/product/2x/meet_96dp.png]https://meet.google.com/frv-bgow-byi Meethttps://meet.google.com/frv-bgow-byi Real-time meetings by Google. Using your browser, share your video, desktop, and presentations with teammates and customers. meet.google.com

Abstract: The topology of an algebraic set near a singular point is of fundamental interest in the study of analytic varieties. In this talk, we shall investigate the local topology of an algebraic set. After a brief description of the basics, we will prove some general facts about algebraic sets and establish results about the local topology of an algebraic set near regular points. A fundamental lemma concerning the existence of real analytic curves on the real algebraic sets will be proved to conclude the talk. Time permitting, we shall discuss some applications of the said lemma, in particular, a fibration theorem which is useful in describing the local topology near singular points. The talk is based on John Milnor’s ”Singular points of complex hypersurfaces”.

______________________

Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman