Professor Dr Brent Everitt
Department of Mathematics
University of York, UK
Target audience
Graduate and senior graduate students in mathematics and mathematicians who are non-specialists in geometric/combinatorial group theory. The lectures will be accompanied by a complete set of typesets notes, which are to be published by Springer-Verlag in their Universitext Series.
Contents
- Combinatorial 2-complexes
- Homotopy
- Maps of 2 complexes
- Homology
- Presentations
- Coverings
- Galois Theory
- Graphs and free groups
- Applications of coverings
- Fundamental groups of graphs of groups
- Interlude: The topological dictionary
- Machines
- Hyperbolic geometry
- Geometric properties of groups
- Hyperbolic groups.
Description
The lecture will be an introduction to combinatorial and geometric group theory from the topological point of view. They will be slightly unusual, in that concepts will be introduced topologically rather than algebraically. So, free groups will be fundamental groups of graphs, subgroups will correspond to coverings, HNN-extensions will be fundamental groups of spaced with a handle sewn on, Cayley graphs will be 1-skeltons of universal covers, and so. This is a point of view that goes back to the very origins of the subject in the work of Dehn and Reideimeister.
ON-SITE WORKSHOP (Islamabad)
Program Details:
Date: 25-26 August 2015
Time: 9.30am to 02.30pm
Duration: Two Days
Venue:
Quaid-i-Azam University, Islamabad
Workshop Enrollment Fee:
Individual: Rs.5000
Full Time Student: Rs.3500
PakMS Member: Rs.4000
Mode of Payment:
Cheque/Draft: Dispatch crossed cheque/draft in favour of "A.I.M.S" at the address: Professor Dr
Qaiser Mushtaq, Department of Mathematics,
Quaid-i-Azam University, Islamabad. OR Direct Account Transfer: Through on-line banking, ATM/Internet/telephone transfer. Bank: Habib Bank Limited, A/C No: 02947901075203, Title of Account: A.I.M.S
Last date for enrollment: 10 August 2015
What Will You Get?
Certificate
Resource material
Post workshop consulting
Lunch and refreshment
WORKSHOP REGISTRATION:
Please do provide your nomination through email, sms or telephone call stating full name, cell number, email ID, name of organization/university, and position/designation etc OR Get Registered On-line
CONTACT: