Giovanni Paolini

Associate Professor of Mathematics at the University of Bologna

This mini-course consists of 5 lectures of 2 hours each. Important announcements will appear here and in the mailing list.

Language: English

- Partially ordered sets [notes]

Tuesday, Nov 23, 16:00-18:00 - Cell complexes, discrete Morse theory [notes]

Thursday, Nov 25, 16:00-18:00 - Examples for discrete Morse theory; introduction to Garside structures [notes]

Tuesday, Nov 30, 16:00-18:00 - Combinatorial Garside structures, Garside monoids [notes] [proof of lemma 1]

Friday, Dec 3, 16:00-18:00 - Garside monoids and Garside groups: normal form and classifying spaces [notes]

Tuesday, Dec 7, 16:00-18:00

All notes: ctgt2021.pdf

- Armstrong, Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups
- Batzies, Discrete Morse Theory for Cellular Resolutions
- Björner-Brenti, Combinatorics of Coxeter groups
- Brown, Topology and Groupoids
- Charney-Meier-Whittlesey, Bestvina's normal form complex and the homology of Garside groups
- Dehornoy, Groups with a complemented presentation
- Dehornoy-Digne-Godelle-Krammer-Michel, Foundations of Garside Theory
- Dehornoy-Paris, Gaussian groups and Garside groups, two generalisations of Artin groups
- Forman, Morse Theory for Cell Complexes
- Hatcher, Algebraic Topology
- Kozlov, Combinatorial Algebraic Topology
- McCammond, An Introduction to Garside Structures
- Stanley, Enumerative Combinatorics
- Wachs, Poset Topology: Tools and Applications