Algebraic topology, geometric and combinatorial group theory - 2015

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source: SNS Channel Mathematical and Natural Sciences    2015年3月26日
Minicourses of the session "Algebraic topology, geometric and combinatorial group theory" (2015)
Winter School of the University of Padova
http://www.crm.sns.it/event/324/
http://www.crm.sns.it/event/324/timetable.html#title
Planned Activities
This INDAM Intensive Period will be divided into three sessions on different topics, the timetable is available here
1) "Vertex algebras, W-algebras, and applications" from December 9th to December 23th 2014 and from January 12th to January 18th 2015 (seminars and mini-courses);
2) "Lie Theory and Representation Theory'' from January 19th to February 6th 2015 (seminars and mini-courses);
3) "Algebraic topology, geometric and combinatorial group theory'' from February 8th 2015 to February 28th 2015 (seminars and mini-courses).
The idea of the Intensive Period is to have some interesting mini courses for PhD students and researchers and regular talks, but also time for discussions and collaboration in the beautiful setting of the city of Pisa. A preliminary calendar of the mini-courses is available here.
There will be other special activities organized during the intensive period: A Cluster Algebras Day on 2th February 2015 A Super Quantum Lie Day on 4th February 2015. The workshop Combinatorics and Algebraic Topology of Configurations from 17th February to 20th February 2015. Two satellite workshop will be part of this INDAM Intensive Period: INdAM Meeting "Configuration spaces: Geometry, Topology and Representation Theory", in Cortona from August 31st to September 6th, 2014 (http://www.dm.unipi.it/~gaiffi/configurationscortona/); INdAM Workshop "Aspects of Lie Theory", in Rome from January 7th to January 10th, 2015 (http://www1.mat.uniroma1.it/people/bravi/indam2015.html).
Third session: Algebraic topology, geometric and combinatorial group theory
An important part of the present project is centered around the study of the geometry, topology and combinatorics of subspace and toric arrangements and of their wonderful models.
We will focus on the role which arrangements, configurations spaces and their compactifications play in several fields of mathematical research: subspace and toric arrangements, toric varieties and tropical geometry, moduli spaces of curves, configuration spaces, box splines, index theory, discrete geometry, Coxeter groups and Artin groups, mapping class groups, loop spaces. Minicourses during this session will enlight the connections of all this topics with algebraic topology, combinatorics and geometric group theory.

Vic Reiner, Lecture I - 9 February 2015 1:36:07 Vic Reiner (University of Minnesota) - Lecture I http://www.crm.sns.it/course/4036/
Many results in the combinatorics and invariant theory of reflection groups have q-analogues for the finite general linear groups GLn(Fq). These lectures will discuss several examples, and open questions arising in this context.
Michael Falk, Research talk - 9 February 2015 1:01:19
Max Wakefield, Research talk - 9 February 2015 58:25
Ulrike Tillmann, Lecture I - 10 February 2015 53:20
Karen Vogtmann, Lecture I - 10 February 2015 1:43:26
Tony Bahri, Research talk - 10 February 2015 54:30
Alexandru Dimca, Research talk - 10 February 2015 57:49
Nancy Abdallah, Research talk - 10 February 2015 47:17
Vic Reiner, Lecture II - 11 February 2015 1:37:43
Ulrike Tillmann, Lecture II - 11 February 2015 1:26:47
Matthias Lenz, Research talk - 11 February 2015 51:15
42 Ana Maria Brecan, Research talk - 11 February 2015 56:03
Karen Vogtmann, Lecture II - 12 February 2015 1:32:50