Last updated: April 10, 2009, 10:02 EST
Northeastern University
Mathematics Department
Maurice Auslander Distinguished Lectures
and International Conference*
April 23 - 28, 2009
Woods Hole, Massachusetts, USA
Speakers:
Edward Green
(Virgina Tech)
Dieter Happel
(TU Chemnitz)
Schedule of The Distinguished Lectures
Date and Time
Location Titles
Saturday, April 25,
3:00 - 4:00 PM
Speck Auditorium,
Rowe Laboratory BuildingEdward Green: Resolutions, finite generation of Ext,
and generalizations of KoszulSaturday, April 25,
5:00 - 6:00 PM
Speck Auditorium,
Rowe Laboratory BuildingDieter Happel: Piecewise hereditary algebras
Social Program
Date and Time
Event
Location
TBA
TBA TBA TBA TBA TBA
For an interactive map of the MBL campus, please click here
Registration for all events is required.
Registration fees
Conference only Conference and Dinner Dinner Only Graduate Students $50 TBA
TBA Postdocs $80 TBA
TBA Regular Faculty and Guests $100 TBA
TBA Children under 12 N/A N/A TBA Children under 4 N/A N/A Free
Accommodations
ShoreWay Acres Resort Inn in Falmouth, MA
A block of rooms has been reserved with a special rate of $79/night (single or double), including buffet breakfast. To make a reservation, please call 800 352-7100 (toll-free) and mention Maurice Auslander
Distinguished Lectures.
Both Falmouth and Woods Hole are easily accessible by Peter Pan Bus Lines which offers direct bus connections to and from Boston Logan Airport and Boston South Station. For schedules, click here.
Titles and Abstracts
To register or for further information, contact Alex Martsinkovsky alexmart >at< neu >dot< edu or Gordana Todorov g.todorov >at< neu >dot< edu
- Lecture 1. Edward Green. Resolutions, finite generation of Ext, and generalizations of Koszul.
Abstract: Let K be a field and let R be a not necessarily finite dimensional K-algebra. For most of the talk we will assume that R=R0 ⊕ R1 ⊕ R2 ⊕ . . . is positively Z-graded with R0 a semisimple K-algebra, R1 of
finite length over R0, and R generated in degrees 0 and 1. The Ext-algebra of R is E(R) = ExtR(R0, R0). The goal of the talk is show some strong relationships between the structure of a minimal graded projective resolution of R0 as an R-module to the ring structure of E(R). For example, how does finite generation of E(R) relate to the structure of a minimal graded projective resolution of R0? Moreover, we show that in some special cases, the close connections between resolutions and Ext-algebras lead to results that relate certain R-modules to certain E(R)-modules.
Koszul algebras and Koszul duality is possibly the most well known such relationship. I will very briefly review this and spend the remainder of the talk surveying some generalizations of this, including d-Koszul, 2-d-Koszul, almost Koszul, and T-Koszul.
- Lecture 2. Dieter Happel. Piecewise hereditary algebras.
Abstract: A finite dimensional algebra A over an algebraically closed field k is said to be piecewise hereditary if it is derived equivalent to a hereditary, abelian category. The hereditary categories occuring
in this situation are up to derived equivalence either module categories over finite dimensional hereditary algebras or coherent sheaves over weighted projective lines in the sense of Geigle and Lenzing.
In this talk we will discuss homological properties of piecewise hereditary algebras. In particluar we will state a homological characterization in terms of the strong global dimension of A, which was obtained in joint work with Dan Zacharia. Also we will discuss special types of Nakayama algebras and give a list when they are piecewise hereditary. In this situation a major tool is played by the Coxeter polynomial associated with the algebra A.
Concurrent Activities
International Conference on Representations of Algebras and
Related Topics
April 23, 25 - 28, 2009
For titles, abstracts, and schedule click here
Special Session of the Representation Theory and Related Topics Seminar
April 24, 2009
Woods Hole, Massachusetts, USA
Registered Participants
NAME AFFILIATION Claire Amiot NTNU, Norway Lidia Angeleri Hügel Università degli Studi di Verona, Italy Louis Beaudet University of Sherbrooke, Canada Frauke Bleher University of Iowa, Iowa City, IA Thomas Bruestle Bishop's University & University of Sherbrooke, Canada Aslak Buan NTNU, Norway Andrew Carroll Northeastern University, Boston, MA Giovanni Cerulli University of Padova, Italy Calin Chindris University of Iowa, Iowa City, IA Gabriella D'Este University of Milan, Italy Ernst Dieterich Uppsala University, Sweden Audrey Doughty Florida Atlantic University, Boca Raton, FL Christof Geiss UNAM, Mexico Ron Gentle Eastern Washington University, Cheney, WA Edward Green Virginia Tech, Blacksburg, VA Dieter Happel TU Chemnitz, Germany Stephen Hermes Brandeis University, Waltham, MA Anthony Iarrobino Northeastern University, Boston, MA Kiyoshi Igusa Brandeis University, Waltham, MA Ryan Kinser University of Michigan, Ann Arbor, MI Ellen Kirkman Wake Forest University, Winston-Salem, NC Mark Kleiner Syracuse University, Syracuse, NY Helmut Lenzing University of Paderborn, Germany Shiping Liu University of Sherbrooke, Canada Dag Madsen Syracuse University, Syracuse, NY Alex Martsinkovsky Northeastern University, Boston, MA Jean-Philippe Morin University of Sherbrooke, Canada Gregg Musiker MIT, Cambridge, MA Charles Paquette University of Sherbrooke, Canada Jason Ribeiro Northeastern University, Boston, MA Jeremy Russell Northeastern University, Boston, MA Steven Sam MIT, Cambridge, MA Ralf Schiffler University of Connecticut, Storrs, CT Markus Schmidmeier Florida Atlantic University, Boca Raton, FL Jeanne Scott University of Leeds, Great Britain Sverre Smalø NTNU, Norway Hugh Thomas University of New Brunswick, Canada Gordana Todorov Northeastern University, Boston, MA Helene Tyler Manhattan College, New York, NY Jose Velez-Marulanda University of Iowa, Iowa City, IA Kristin Webster Northeastern University, Boston, MA Jerzy Weyman Northeastern University, Boston, MA Shih-Wei Yang Northeastern University, Boston, MA
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* Sponsored by Bernice Auslander and Northeastern University