SCIENTIFIC PROGRAMS AND ACTIVITIES

May 24, 2012
THE FIELDS INSTITUTE
FOR RESEARCH IN MATHEMATICAL SCIENCES
July 3-6, 2012
WORKSHOP ON ALGEBRAIC MONOIDS, GROUP EMBEDDINGS
AND ALGEBRAIC COMBINATORICS

Hosted by the Fields Institute

Organizers: Mahir Can (Tulane), Zhenheng Li (University Of South Carolina),
Benjamin Steinberg (Carleton), Qiang Wang (Carleton)

Overview

The Workshop will consist of 3 minicourses on introductory topics aimed at graduate students staggered throughout the four days. These tutorials will introduce the necessary background for the remaining research talks, which form the second component of the workshop. We anticipate that these research talks will outline future directions of research and lead to active collaborations between the participants. It is anticipated that the nature of this event will attract interaction between researchers of different countries and enable graduate students from various universities to communicate directly with each other. This workshop, which is funded by both Fields Institute and NSF, is in honour of the 60th birthdays of Mohan Putcha and Lex Renner, and will be taking place at the Fields Institute.

The main goal of the proposed workshop is to stimulate research on the interplay between algebraic monoids, group embeddings and algebraic combinatorics. By fostering contact between people with different backgrounds and strengths, we hope to gain a better understanding of algebraic monoids, including both their structure and their representation theory. Another central goal of the workshop is to seek a better understanding of the connections between algebraic monoids and the geometry of embeddings. Reductive monoids are group embeddings of a particular kind. They can be understood as reductive monoids, and also as spherical varieties. Their structure is sufficiently rich to provide hints and examples for more general problems about spherical varieties. Another aim of this workshop is to catalyze the interactions between combinatorics and algebraic monoids to further the understanding of the representation theory of an arbitrary (reductive) monoid and to further enrich the theory of combinatorics. Finally, it is an important goal of this workshop to prepare graduate students for research in this area and in particular to suggest thesis projects.

List of Participants as of May 24, 2012

Full Name University/Affiliation
Aker, Kür?at ?stanbul Bilgi Üniversitesi
Benkart, Georgia University of Wisconsin at Madison
Bergeron, Nantel York University
Brion, Michel Universit de Grenoble I
Can, Mahir Bilen Tulane University
Denton, Tom York University/ Fields Institute
Doty, Stephen Loyola University Chicago
Jespers, Eric Vrije Universiteit Brussel
Joyce, Michael Tulane University
Kaveh, Kiumars University of Pittsburgh
Li, Zhenheng University of South Carolina Aiken
Liu, Yu Hanshan Normal University
Margolis, Stuart Bar Ilan University
O'Hara, Allen University of Western Ontario
Okninski, Jan Warsaw University
Putcha, Mohan North Carolina State University
Renner, Lex University of Western Ontario
Sandeep Varma, Vadakkumkoor University of Chicago
Schilling, Anne University of California, Davis
Steinberg, Benjamin The City College of New York
Tang, Xiaomin Heilongjiang University
Taylor, Dewey Virginia Commonwealth University
Therkelsen, Ryan Bellarmine University
Thiéry, Nicolas M. Université Paris Sud 11
Twelbeck, Tim Tulane University


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