Short program of the seminar:
Winter Semester: Lie groups, Algebraic varieties, Algebraic groups.
Spring Semester: Complex semisimple Lie groups, Real semisimple Lie groups, Levi decomposition.
See Detailed program.
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).
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.
Contact me at: borovoi@post.tau.ac.il. Please write in Subject: Algebraic groups.