ÿþ<HTML> <HEAD> <TITLE> Lie Groups and Algebraic Groups</TITLE> </HEAD> <BODY> <H2>Seminar: Lie Groups and Algebraic Groups</H2> <H3> Winter Semester and Spring Semester 2012/13 </H3> <b> <A HREF="http://www.math.tau.ac.il/~borovoi"> Mikhail Borovoi </A> ( borovoi@post.tau.ac.il ) <br> </b> Winter Semester: Sunday 16-18, Dan David 101 <br> Spring Semester: Tuesday 10-12 <br> <p> <!-- <A HREF="http://www.math.tau.ac.il/"> School of Mathematical Sciences,</A> <br> <A HREF="http://www.tau.ac.il/"> <i>Tel-Aviv University</i></A> <br> --> <b> Short program of the seminar:</b><br> Winter Semester: Lie groups, Algebraic varieties, Algebraic groups.<br> Spring Semester: Complex semisimple Lie groups, Real semisimple Lie groups, Levi decomposition.<br> See <A HREF="detailed.pdf">Detailed program.</A> <p> Prerequisite Courses: Algebra B 1, Differential Geometry (or read in Wikipedia about differentiable manifolds and tangent spaces), Topology (or read in Wikipedia about the fundamental group), Algebra B 3 (or read in Wikipedia about rings and ideals). <p> No preliminary knowledge of Lie groups, or algebraic geometry, or algebraic groups is assumed: the students will learn all this at the seminar. The talks at the seminar will be given by students. The texts of the talks will be sent to all the students by e-mail. At each meeting the students will be given a list of problems (with hints) to be solved in writing. Solving problems at home will be the main part of learning in the seminar. The seminar will be in English. <!-- <H3> Textbook: </H3> An Introduction to the Theory of Groups, 4th Edition (or any other edition), by Joseph J. Rotman. <br> --> <p> <b>Contact me</b> at: borovoi@post.tau.ac.il. Please write in Subject: Algebraic groups. </BODY>