Minimal Free Resolutions, Betti Numbers, and Combinatorics

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Minimal Free Resolutions, Betti Numbers, and Combinatorics

 01 - 05 Jun 2015

ICMS, 15 South College Street Edinburgh

Scientific Organiser

  • Milena Hering, University of Edinburgh
  • Frank-Olaf Schreyer, Universität des Saarlandes

About:

Topics covered included: Boij-Soderberg theory, asymptotic syzygies, combinatorial methods in understanding minimal free resolutions of monomial, toric ideals or ideals associated to graphs, and methods of representation theory to understand Veronese embeddings.

Speakers

  • Gavril Farkas, Humboldt Universität zu Berlin - The Green-Lazarsfeld Secant Conjecture

  • Alexander Engström, Aalto University - Cellular Resolutions

  • Jurgen Herzog, Universität Duisburg-Essen - Pseudo-Gorenstein and Level Hibi Rings

  • Victor Lozovanu, Universita di Milano-Bicocca - Syzygies on Abelian Surfaces

  • Aldo Conca, Univerista degli Studi di Genova - Homological Properties of Koszul Algebras 

  • Sandra Di Rocco, KTH Royal Institute of Technology - Toric Vector Bundles and Polytopes

  • Takayuki Hibi, Osaka University - Regularity of Edge Ideals and Dominating Induced Matchings

  • Wouter Castryck, Universiteit Gent - A Kp1 Conjecture for Toric Surfaces

  • Gregory Smith, Queen's University - Nonnegativity Certificates on Real Projective Curves

  • Sijong Kwak, Korea Advanced Institute of Science and Technology - Equations, Syzygies and Classification of Projective Algebraic Sets with Respect to Betti Tables

  • Volkmar Welker, Philipps-Universität Marburg - Asymptotic Syzygies of Stanley Reisner Rings of Iterated Subdivisions

  • Gavin Brown, University of Warwick - Orbifold Cancellation and Free Resolutions

  • Winfried Bruns, Universität Osnabrück - Ideals Generated by Superstandard Tableaux

  • Jerzy Weyman, University of Connecticut - On the Free Resolutions of Length Three

  • Hal Schenck, University of Illinois - Algebra and Geometry of Wachspress Surfaces

  • Claudiu Raicu, University of Notre Dame - The Syzygies of Some Thickenings of Determinantal Varieties

  • Daniel Erman, University of Wisconsin - Ulrich Bundles Supported on the Diagonal

  • Lawrence Ein, University of Illinois  - Asymptotic Syzygies of Algebraic Varieties

  • Jessica Sidman, Mount Holyoke College - Syzygies, Secants and Subspaces

Sponsors and Funders:

We are grateful for the support from the Edinburgh Mathematical Society and the Glasgow Mathematical Journal Learning and Research Support Fund.