Servizi per la didattica
PORTALE DELLA DIDATTICA

HYPERBOLIC GROUPS

01HIKRT

A.A. 2022/23

Course Language

Inglese

Degree programme(s)

Doctorate Research in Matematica Pura E Applicata - Torino

Course structure
Teaching Hours
Lezioni 20
Lecturers
Teacher Status SSD h.Les h.Ex h.Lab h.Tut Years teaching
Docente Da Nominare       20 0 0 0 1
Co-lectuers
Espandi
Context
SSD CFU Activities Area context
*** N/A ***    
Statistiche superamento esami
Introdurre alle basi della teoria iperbolica dei gruppi con particolare enfasi sulle applicazioni in teoria dei modelli dei gruppi.
Introducing the foundations of hyperbolic group theory with particular emphasis on applications in model theory of groups.
Conoscenza di base di teoria dei modelli e di teoria dei gruppi
Basic knowledge of model theory and group theory
Week 1 Hyperbolic metric spaces (Quasi-isometries/geodesic metric spaces/Slim and thin triangles) Week 2 Hyperbolic groups (Cayley graphs and hyperbolicity/Diagrams and area in groups/The linear isoperimetric inequality/Small cancellation conditions) Week 3 Random Groups (Fewer relator models/Gromov’s density model/Typical properties in groups) Week 4 First-order sentences in random groups (Axiomatization of the theory of nonabelian free groups/Typical first-order sentences in groups).
Week 1 Hyperbolic metric spaces (Quasi-isometries/geodesic metric spaces/Slim and thin triangles) Week 2 Hyperbolic groups (Cayley graphs and hyperbolicity/Diagrams and area in groups/The linear isoperimetric inequality/Small cancellation conditions) Week 3 Random Groups (Fewer relator models/Gromov’s density model/Typical properties in groups) Week 4 First-order sentences in random groups (Axiomatization of the theory of nonabelian free groups/Typical first-order sentences in groups).
Modalità mista
Mixed mode
Presentazione orale
Oral presentation
P.D.2-2 - Aprile
P.D.2-2 - April
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