RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR
sponsored by the
and the
Founded 2003 by Drew Sills and Doron Zeilberger.
Former co-organizers: Drew Sills (2003-2007), Moa ApaGodu (2005-2006), Lara Pudwell (2006-2008)
Current co-organizers:
Andrew Baxter (baxter {at} math [dot] rutgers [dot] edu)
Doron Zeilberger (zeilberg {at} math [dot] rutgers [dot] edu)
Archive of Previous Speakers and Talks
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This Week's Talk
Unless otherwise specified, seminars will be held in Hill 705 on the date indicated from 5:00 to 5:48 PM. Professor Zeilberger has promised to enforce the time limits.
No talk November 26th -- Thanksgiving
Date: Thursday, December 3, 2009
Speaker: Christoph Koutschan, Tulane University
Title: Advanced Applications of the Holonomic Systems Approach
Abstract:
Since the holonomic systems approach has been proposed by
D. Zeilberger in the early 1990s, it has received a lot of attention
and has proved to be useful in various applications. In our talk we
want to present results of our PhD thesis which has close connections
to this approach. The core of our work is a new, very powerful
Mathematica implementation of the related algorithms (noncommutative
Groebner bases, closure properties for multivariate holonomic
functions, creative telescoping for such functions in order to solve
integration and summation problems, some extensions to deal with
non-holonomic functions). This implementation then served for solving
several nontrivial problems, including an open conjecture from
combinatorics and questions that arose in numerical simulations using
finite element methods.
Upcoming Talks
Date: Thursday, December 3, 2009
Speaker: Christoph Koutschan, Tulane University
Title: Advanced Applications of the Holonomic Systems Approach
Abstract:
Since the holonomic systems approach has been proposed by
D. Zeilberger in the early 1990s, it has received a lot of attention
and has proved to be useful in various applications. In our talk we
want to present results of our PhD thesis which has close connections
to this approach. The core of our work is a new, very powerful
Mathematica implementation of the related algorithms (noncommutative
Groebner bases, closure properties for multivariate holonomic
functions, creative telescoping for such functions in order to solve
integration and summation problems, some extensions to deal with
non-holonomic functions). This implementation then served for solving
several nontrivial problems, including an open conjecture from
combinatorics and questions that arose in numerical simulations using
finite element methods.
Date: Thursday, December 10, 2009
Speaker: Vince Vatter, Dartmouth College
Title: Permutation classes with rational generating functions
Abstract:
It is commonly believed that most permutation classes have very
complicated, in fact, non-holonomic, generating functions. Yet some
permutation classes (those with the simplest structure) possess
rational generating functions. I will survey the ongoing (and
seemingly quite difficult problem) of characterizing such classes,
focusing on what can be done automatically via Maple.
Coming up in Spring 2010
Date: January 28, 2010
Speaker: TBA
Date: February 4, 2010
Speaker: Gary Gordon, Lafayette Collegte
Title: TBA
Abstract:
TBA
Date: February 11, 2010
Speaker: Paul Pasles, Villanova University
Title: TBA
Abstract:
TBA
Date: February 18, 2010
Speaker: Sergi Elizalde, Dartmouth College
Title: TBA
Abstract:
TBA
Date: February 25, 2010
Speaker: TBA
Date: March 4, 2010
Speaker: TBA
Date: March 11, 2010
Speaker: Bruce Sagan, Michigan State and NSF
Title: TBA
Abstract:
TBA
No talk March 18, 2010 --- Spring Break
Date: March 25, 2010
Speaker: TBA
Date: April 1, 2010
Speaker: TBA
Date: April 8, 2010
Speaker: Aaron Robertson, Colgate University
Title: TBA
Abstract:
TBA
Date: April 15, 2010
Speaker: TBA
Date: April 22, 2010
Speaker: TBA
Date: April 29, 2010
Speaker: TBA
This page is maintained by Andrew Baxter. Send comments to baxter {at} math [dot] rutgers [dot] edu.