The Fundamental Group and Some of Its Applications, II

Aslı Güçlükan İlhan, Dokuz Eylül University.
Date: 21st of February, 2018, Wednesday. Time: 09:30 – 12:00.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this series of talks, we will introduce the fundamental group
and discuss some of its applications including the proof of the
fundamental theorem of algebra. In this talk, we will calculate the
fundamental group of a circle and give some of its applications. We also
discuss the van Kampen theorem which allows us to compute the fundamental
group of a space from the simpler ones. Then we prove that every group
can be realized as a fundamental group.