December 3, 2019
3:00PM - 4:00PM
Cockins Hall 240
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2019-12-03 16:00:00
2019-12-03 17:00:00
Geometric Group Theory Seminar- Jingyin Huang
Title: The Helly Geometry of Some Garside and Artin Groups
Speaker: Jingyin Huang - The Ohio State University
Abstract: Garside groups and Artin groups are two generalizations of braid groups. We show that weak Garside groups of finite type and FC-type Artin groups are Helly, hence equip these groups with a particular nonpositive-curvature-like (NPC) structure. Such structure shares many properties of a CAT(0) structure and has some additional combinatorial flavor. We shall explain this NPC structure in more detail and discuss new results on the topology and geometry of these groups which are immediate consequences of such structure. This is joint work with D. Osajda.
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-12-03 15:00:00
2019-12-03 16:00:00
Geometric Group Theory Seminar- Jingyin Huang
Title: The Helly Geometry of Some Garside and Artin Groups
Speaker: Jingyin Huang - The Ohio State University
Abstract: Garside groups and Artin groups are two generalizations of braid groups. We show that weak Garside groups of finite type and FC-type Artin groups are Helly, hence equip these groups with a particular nonpositive-curvature-like (NPC) structure. Such structure shares many properties of a CAT(0) structure and has some additional combinatorial flavor. We shall explain this NPC structure in more detail and discuss new results on the topology and geometry of these groups which are immediate consequences of such structure. This is joint work with D. Osajda.
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: The Helly Geometry of Some Garside and Artin Groups
Speaker: Jingyin Huang - The Ohio State University
Abstract: Garside groups and Artin groups are two generalizations of braid groups. We show that weak Garside groups of finite type and FC-type Artin groups are Helly, hence equip these groups with a particular nonpositive-curvature-like (NPC) structure. Such structure shares many properties of a CAT(0) structure and has some additional combinatorial flavor. We shall explain this NPC structure in more detail and discuss new results on the topology and geometry of these groups which are immediate consequences of such structure. This is joint work with D. Osajda.
