Workshop on Lefschetz Properties in Algebra, Geometry, Topology and Combinatorics
Description
The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds, begun by S. Lefschetz, and well established by the late 1950's. Many of the important Artinian graded algebras appear as cohomology rings of an algebraic variety or manifold, though recent important developments have demonstrated important cases of the Lefschetz properties beyond such geometric settings (such as Coxeter groups or matroids). This renews interest in understanding the Lefschetz property, and Artinian algebras that admit them, systematically.
Lefschetz properties form a fertile meeting ground for researchers with quite diverse backgrounds. Indeed, this subject matter has connections to many branches of mathematics, as a central object of study in it are Gorenstein algebras (also known as Poincaré duality algebras), which are of strong interest not only in algebraic geometry, but also in commutative algebra, algebraic topology, and combinatorics. In particular, some of the important results in the area have been obtained by using unexpected methods and finding unexpected connections between apparently different topics, naturally bringing together a diverse set of researchers.
In the last two decades there has been fascinating progress on the study of the Weak Lefschetz Property (WLP) and the Strong Lefschetz Property (SLP) from different perspectives, inspired in part by, and contributing to, developments in algebraic geometry, commutative algebra and combinatorics among others. Our workshop will highlight the most significant developments, with the aim of spurring further progress in the field stimulated by the contact of different points of view. More precisely, the purpose of this workshop is to bring together researchers from different areas, who might not otherwise cross paths, in order to share different points of view and to foster new and unexpected collaborations.
One consequence is that young researchers have the opportunity to collaborate with established experts, who they otherwise would not have the chance to interact with. In addition, since Lefschetz properties are very actively studied, it is expected that participants will also gain ideas for directions in which to guide their current and future students.
Sponsors
Schedule
09:00 to 09:15 |
Welcome
|
09:15 to 10:00 |
Alexandra Seceleanu, University of Nebraska-Lincoln |
10:00 to 10:30 |
Coffee Break
|
10:30 to 11:00 |
Uwe Nagel, University of Kentucky |
11:00 to 11:45 |
Pedro Macias Marques, Universidade de Évora |
11:45 to 12:20 |
More Problems
|
12:45 to 14:15 |
Lunch
|
14:15 to 15:30 |
Working Group
|
15:30 to 16:00 |
Coffee Break
|
16:00 to 17:00 |
Working Group
|
09:00 to 09:45 |
Matt Larson, Stanford University |
09:45 to 10:30 |
Laurentiu Maxim, University of Wisconsin–Madison |
10:30 to 11:00 |
Coffee Break
|
11:00 to 11:45 |
Emanuela Marangone, University of Notre Dame |
11:45 to 12:30 |
Nasrin Altafi, Queen's University |
12:45 to 14:15 |
Lunch
|
14:15 to 15:30 |
Working Group
|
15:30 to 16:00 |
Coffee Break
|
16:00 to 17:00 |
Working Group
|
17:30 to 19:30 |
Reception - Prenup Pub (191 College St, Toronto, ON M5T 1P9)
|
09:00 to 09:45 |
Giuseppe Favacchio, Università degli Studi di Palermo |
09:45 to 10:30 |
Lucja Farnik, Pedagogical University of Krakow |
10:30 to 11:00 |
Coffee Break
|
11:00 to 11:45 |
Lisa Nicklasson, Università di Genova |
11:45 to 12:30 |
Interim Reports
|
12:30 to 12:35 |
Group Photos
|
09:00 to 09:45 |
Chris McDaniel, Endicott College |
09:45 to 10:30 |
Sean Grate, Auburn University |
10:30 to 11:00 |
Coffee Break
|
11:00 to 11:45 |
Thiago Holleben, Dalhousie University |
11:45 to 12:30 |
Junzo Watanabe, Tokai University |
12:45 to 14:15 |
Lunch
|
14:15 to 15:30 |
Working Group
|
15:30 to 16:00 |
Coffee Break
|
16:00 to 17:00 |
Working Group
|
09:00 to 09:45 |
Giovanna Ilardi, Università di Napoli Federico II |
09:45 to 10:30 |
Pietro De Poi, University of Udine |
10:30 to 11:00 |
Coffee Break
|
11:00 to 11:45 |
Filip Jonsson Kling, Stockholm University |
11:45 to 12:30 |
Larry Smith, University of Göttingen |
12:45 to 14:15 |
Lunch
|
14:15 to 15:30 |
Final Reports
|
15:30 to 16:00 |
Coffee Break
|