EMS Summer School on Combinatorial Commutative Algebra

8-12 August 2022

Summer School Topics

This is an EMS (European Mathematical Society) summer school. The main goal of the school is to create an environment for participants, especially for postdocs and graduate students, to learn about some of the foundational topics and emerging research directions in combinatorial commutative algebra. The titles and the abstracts of the lectures are:

• Trace ideals in commutative algebra and combinatorics,
  Lecturer: Jürgen Herzog (Universität Duisburg-Essen)
• Convex Polytopes, Grobner Bases and Monomial Ideals,
  Lecturer: Takayuki Hibi (Osaka University)
• Binomial ideals associated to graphs,
  Lecturer: Sara Saeedi Madani (Amirkabir University of Technology and IPM)

Contributed Talks

• Chow ring of generic flag varieties under the spin groups
  Sanghoon Baek (Korea Advanced Institute of Science and Technology)
• Gröbner basis of closed path polyominoes
  Carmelo Cisto (University of Messina)
• Polymatroidal ideals and their homological shifts
  Antonino Ficarra (University of Messina)
• Equivariant Hilbert series of subspace arrangements
  Francesca Gandini (University of Primorska)
• Dominating ideals and closed neighbourhood ideals of graphs
  Aslı Musapaşaoğlu (Sabancı University)
• Hilbert-Poincare series and rook polynomial of closed path polyominoes
  Francesco Navarra (University of Messina)
• On affine semigroups of maximal projective dimension
  Om Prakash (Indian Institute of Technology, Gandhinagar)
• Classes of cut ideals and their Betti numbers
  Masoomeh Rahimbeigi
• The v-number of monomial ideals
  Kamalesh Saha (Indian Institute of Technology, Gandhinagar)
• Projective closure of affine monomial curves
  Pranjal Srivastava (Indian Institute of Technology, Gandhinagar)
• Arf numerical semigroups and their gaps
  Meral Süer (Batman University)
• On h-polynomial and rook polynomial of polyominoes
  Dharm Veer (Chennai Mathematical Institute)