Here you will find detailed lecture notes, other informations concering our activities under Seminar in Geometry and Topology 2014
This is the notes for first three meetings.
The first meeting was held on 9th Jan. 2014. It was decided to hold subsequent meetings on Mondays. The II meeting was held on Monday 13th Jan. So far, we have discussed: 1. Connectivity of classical results. 2. Polar decomposition. 3. Fundamental group of a compact connected Lie group: Surjectivity of $\pi_1(T)\to \pi_1(G).$ 4. Cartan's theorem that G=\cup _g gTg^{-1}. 5. $G\to G/H $ is a locally trivial fibre bundle of manifolds. In particular, it is a fibration.