Homotopy and homology on digraphs
演讲者
Alexander Grigor'yan
时间
2024年03月28日 14:30 至 15:30
地点
A3-4-101
线上
Zoom 928 682 9093
(BIMSA)
摘要
We discuss the notions of path homology and homotopy of digraphs. The following topic will be presented.
- Homology groups of digraphs.
- Homotopy of digraph maps and digraphs. Invariance of homology groups under homotopy.
- Fundamental group of a digraph. Invariance of the fundamental group under homotopy.
- Relation between the fundamental group and first homology group.
- Homology groups of digraphs.
- Homotopy of digraph maps and digraphs. Invariance of homology groups under homotopy.
- Fundamental group of a digraph. Invariance of the fundamental group under homotopy.
- Relation between the fundamental group and first homology group.
演讲者介绍
Professor Alexander Grigor'yan received his PhD from Lomonosov Moscow University in 1982. Since then, he worked at the State University of Volgograd and the Institute of Control Sciences in Moscow with receiving his habilitation in 1989. He has been a Humboldt Fellow at Bielefeld University in 1992-93 and a Guest Scholar at Harvard University in 1993/94. After working from lecturer to professor at Imperial College London in 1994-2005, he became a professor at Bielefeld University from 2005.
Professor Grigor'yan won a gold medal at International Mathematical Olympiad when he was 17, awarded by the Prize of the Moscow Mathematical Society in 1988, and received the Whitehead Prize of London Mathematical Society in 1997. He was an invited speaker of European Congress of Mathematicians in Barcelona in 2000.
Professor Grigor'yan is one of the top experts in geometric analysis on Riemannian manifolds, metric spaces and graphs, with making various important contributions on the topics.