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Summer Graduate Workshop
Cluster Algebras and Cluster Combinatorics
Aug 1, 2011 to Aug 12, 2011

Organizer(s)

Gregg Musiker (University of Minnesota), Lauren Williams* (University of California, Berkeley)

Contact

Cluster algebras are a class of combinatorially defined rings that provide a unifying structure for phenomena in a variety of algebraic and geometric contexts. A partial list of related areas includes quiver representations, statistical physics, and Teichmuller theory. This summer workshop for graduate students will focus on the combinatorial aspects of cluster algebras, thereby providing a concrete introduction to this rapidly-growing field. Besides providing background on the fundamentals of cluster theory, the summer school will cover complementary topics such as total positivity, the polyhedral geometry of cluster complexes, cluster algebras from surfaces, and connections to statistical physics. No prior knowledge of cluster algebras will be assumed.

The workshop will consist of four mini-courses with accompanying tutorials. Students will also have opportunities for further exploration using computer packages in Java and Sage.

List of Minicourses:

  1. Nathan Reading (North Carolina State University)
    "Cluster algebras and Coxeter combinatorics"
  2. Lauren Williams (University of California, Berkeley)
    "Total positivity"
  3. Gregg Musiker (University of Minnesota)
    "Cluster algebras from surfaces"
  4. Ralf Schiffler (University of Connecticut)
    "Cluster algebras and tilting theory"

Bibliography (PDF)

For eligibility and how to apply, see the Summer Graduate Workshop homepage

SAGE DEMO LINKS:

(software) = http://sage.lacim.uqam.ca/)  
(notes) = http://arxiv.org/abs/1102.4844


 

Important

Schedule
Monday, August 01, 2011
9:25AM - 9:40AM MSRI, Simons Auditorium Welcome to MSRI [Video available]
9:40AM - 11:10AM MSRI, Simons Auditorium Lauren Williams Lecture ( Notes ) [Video available]
11:10AM - 11:30AM MSRI, Simons Auditorium Break
11:10AM - 11:30AM MSRI, Atrium Coffee Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
11:30AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Simons Auditorium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:30PM MSRI, Atrium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Nathan Reading Lecture ( Notes   Exercises ) [Video available]
3:30PM - 4:00PM MSRI, Simons Auditorium Break
3:30PM - 4:00PM MSRI, Atrium Tea
4:00PM - 5:00PM MSRI, Simons Auditorium SAGE (Computer) Demo ( Notes )
Tuesday, August 02, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Lauren Williams Lecture ( Notes ) [Video available]
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:30AM - 12:30PM MSRI, Atrium Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
12:30PM - 2:00PM MSRI, Simons Auditorium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:30PM MSRI, Atrium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Nathan Reading Lecture ( Notes   Excercises ) [Video available]
3:30PM - 4:00PM MSRI, Simons Auditorium Break
3:30PM - 4:00PM MSRI, Atrium Tea
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
Wednesday, August 03, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Lauren Williams Lecture ( Notes ) [Video available]
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:00AM - 2:00PM MSRI, Simons Auditorium Break
11:30AM - 3:30PM MSRI, Atrium Break
11:30AM - 2:00PM MSRI BBQ Lunch
2:00PM - 5:00PM MSRI Break
2:00PM - 3:30PM MSRI, Simons Auditorium Nathan Reading Lecture ( Notes A   Notes B   Excercises ) [Video available]
3:30PM - 4:00PM MSRI, Simons Auditorium Break
3:30PM - 4:00PM MSRI, Atrium Tea
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
5:00PM - 6:00PM MSRI Computer Office Hours
Thursday, August 04, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Lauren Williams Lecture ( Notes ) [Video available]
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:30AM - 12:30PM MSRI, Atrium Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
12:30PM - 2:00PM MSRI, Simons Auditorium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:30PM MSRI, Atrium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Nathan Reading Lecture ( Notes A   Notes B   Excercises ) [Video available]
3:30PM - 4:00PM MSRI, Simons Auditorium Break
3:30PM - 4:00PM MSRI, Atrium Tea
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
Friday, August 05, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Lauren Williams Lecture ( Notes ) [Video available]
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:30AM - 12:30PM MSRI, Atrium Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
12:30PM - 2:00PM MSRI, Simons Auditorium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:30PM MSRI, Atrium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Nathan Reading Lecture ( Notes   Excercises ) [Video available]
3:30PM - 4:00PM MSRI, Simons Auditorium Break
3:30PM - 4:00PM MSRI, Atrium Tea
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
Monday, August 08, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Ralf Schiffler Lecture [Video available]
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:30AM - 12:30PM MSRI, Atrium Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
12:30PM - 2:00PM MSRI, Simons Auditorium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
2:00PM - 3:30PM MSRI, Atrium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Gregg Musiker Lecture ( Notes ) [Video available]
3:30PM - 4:00PM MSRI, Simons Auditorium Break
3:30PM - 4:00PM MSRI, Atrium Tea
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
Tuesday, August 09, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Ralf Schiffler Lecture [Video available]
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
11:30AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Gregg Musiker Lecture ( Notes ) [Video available]
2:00PM - 3:30PM MSRI, Atrium Break
3:30PM - 4:00PM MSRI, Atrium Tea
3:30PM - 4:00PM MSRI, Simons Auditorium Break
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
Wednesday, August 10, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Ralf Schiffler Lecture [Video available]
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:30AM - 12:30PM MSRI, Simons Auditorium SAGE (Computer) Demo
11:30AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Gregg Musiker Lecture ( Notes ) [Video available]
2:00PM - 3:30PM MSRI, Atrium Break
3:30PM - 4:00PM MSRI, Atrium Tea
3:30PM - 4:00PM MSRI, Simons Auditorium Break
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
Thursday, August 11, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Ralf Schiffler Lecture [Video available]
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
11:30AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Gregg Musiker Lecture ( Notes ) [Video available]
2:00PM - 3:30PM MSRI, Atrium Break
3:30PM - 4:00PM MSRI, Atrium Tea
3:30PM - 4:00PM MSRI, Simons Auditorium Break
4:00PM - 5:00PM MSRI, Simons Auditorium Problem Session
Friday, August 12, 2011
9:30AM - 11:00AM MSRI, Simons Auditorium Ralf Schiffler Lecture [Video available]
11:00AM - 11:30AM MSRI, Atrium Coffee Break
11:00AM - 11:30AM MSRI, Simons Auditorium Break
11:30AM - 12:30PM MSRI, Simons Auditorium Problem Session
11:30AM - 12:30PM MSRI, Atrium Break
12:30PM - 2:00PM MSRI, Atrium Lunch
12:30PM - 2:00PM MSRI, Simons Auditorium Break
2:00PM - 3:30PM MSRI, Simons Auditorium Gregg Musiker Lecture ( Notes ) [Video available]
2:00PM - 3:30PM MSRI, Atrium Break
3:30PM - 4:00PM MSRI, Atrium Tea
3:30PM - 4:00PM MSRI, Simons Auditorium Break [Video available]
4:00PM - 5:00PM MSRI, Simons Auditorium Future Topics [Video available]
Parent Program(s):
Cluster Algebras


Questions about this workshop should be sent either by email to
588@msri.org

or by regular mail to:
Cluster Algebras and Cluster Combinatorics
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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