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Monomial ideals and algebras are, in some sense, among the simplest structures in commutative algebra and the main objects in combinatorial commutative algebra. Also, they have big importance for at least three reasons. Firstly, Gröbner basis theory allows to treat certain problems on general polynomial ideals by means of monomial ideals. Secondly, the combinatorial structure of monomial ideals connects them to other combinatorial structures and allows the solution of problems at each side of this correspondence with the techniques of each of the respective areas. And thirdly, again the combinatorial nature of monomial ideals makes them particularly adequate for the development of algorithms to work with them and then generate algorithms focused on more general structures.

It is the aim of this conference to gather researchers with an active interest in monomial ideals and algebras, or in topics related to them. A main goal of the conference is to treat the theoretical, computational and applied aspects of this topic with leading experts in the different areas involved. A strong focus will be on potential and actual applications of monomial ideals and algebras as well as the computational techniques and problems related to combinatorial commutative algebra.

The conference will consist on three courses (3-4 hours each plus computer tutorials) by experts in the field. There will be also contributed talks and software presentations by the participants.

Committees:

Organizing committee:

  • Anna M. Bigatti, Università degli studi di Genova (Italy)
  • Philippe Gimenez, Universidad de Valladolid (Spain)
  • Eduardo Sáenz-de-Cabezón, Universidad de La Rioja (Spain)

Scientific committee:

  • Isabel Bermejo, Univeridad de La Laguna (Spain)
  • Anna M. Bigatti, Università degli studi di Genova (Italy)
  • Massimo Caboara, Università di Pisa (Italy)
  • Philippe Gimenez, Universidad de Valladolid (Spain)
  • Eduardo Sáenz-de-Cabezón, Universidad de La Rioja (Spain)