Lefschetz Properties and Jordan Type in

Algebra, Geometry and Combinatorics  

Bellavista Relax Hotel, Levico Terme (Trento), Italy

June 25.th- 29.th, 2018


                           2862

Lago di Levico - Fototeca Trentino SPA – Foto Flavio Faganello

 

 

Scientific Committee

·         Sara Faridi (Dalhousie University, Canada)

·         Giovanna Ilardi (Università di Napoli Federico II, Italy)

·         Emilia Mezzetti (Università di Trieste, Italy)

·         Juan Migliore (University of Notre Dame, USA)

·         Rosa Maria Miró-Roig (Universitat de Barcelona, Spain)

Objectives of the Workshop

 The themes of the workshop are the Weak Lefschetz Property – WLP – and the Strong Lefschetz Property – SLP. The name of these properties, referring to Artinian algebras, is motivated by the Lefschetz theory for projective manifolds, begun by S. Lefschetz, and well established by the late 1950’s. In fact, Lefschetz properties of Artinian algebras are algebraic generalizations of the Hard Lefschetz property of the cohomology ring of a smooth projective complex variety. The investigation of the Lefschetz properties of Artinian algebras was started in the mid 1980’s. Although there were limited developments on this topic in the 20th century, in the last years this topic has attracted the attention of mathematicians from different areas, such as commutative algebra, algebraic geometry, combinatorics, algebraic topology and representation theory. One of the main features of WLP and SLP is their ubiquity and the quite surprising and still not completely understood relations with other themes: linear configurations, interpolation problems, vector bundle theory, plane partitions, splines, $d$-webs and differential geometry among others.

The purpose of this workshop is to bring together researchers from different areas in order to share different points of view and to make collaborations possible, with the ultimate aim that this will result in new connections and possibly unexpected breakthroughs. The meeting will be organized as follows: in the morning there will be classical talks and presentations of open problems. Then, small research groups will be formed, each of which will spend the afternoons working on one or two of the problems. At the end of each day there will be informal reports and discussions.

This format of the meeting, already successfully experimented in the previous workshops at Hawaii in September 2012, Göttingen in March 2015, Banff, BIRS in March 2016 and at the Mittag Leffler Institute in July 2017, is suitable to create new and interesting collaborations.

Confirmed List of Participants and Program

·         Nancy Abdallah (Linköping University, Sweden)

·         Karim Adiprasito (Hebrew University of Jerusalem, Israel)

·         Nasrin Altafi (KTH, Sweden)

·         Alessandra Bernardi (Università di Trento, Italy)

·         Armando Cerminara (Università di Napoli, Italy)

·         Luca Chiantini (Università di Siena, Italy)

·         Liena Colarte Gomez (Universitat de Barcelona, Spain)

·         Graham Denham (University of Western Ontario, Canada)

·         Pietro De Poi (Università di Udine, Italy)

·         Roberta Di Gennaro (Università di Napoli, Italy)

·         Alexandru Dimca (University of Nice, France)

·         Giuseppe Favacchio (Università di Catania, Italy)

·         Rodrigo Gondim (Universidad Federal Rural de Pernambuco, Brazil)

·         Brian Harbourne (University of Nebraska, USA)

·         Anthony Iarrobino (Northeastern University, USA)

·         Shihoko Ishii (Tokyo Woman’s Christian University, Japan)

·         Leila Khatami (Union College, USA)

·         Young Rock Kim (Hankuk University of Foreign Studies, Seoul, South Korea)

·         Toshiaki Maeno (Meijo University, Japan)

·         Chris McDaniel (Endicott College, USA)

·         Ivan Martino (Northeastern University, USA)

·         Mateusz Michalek (Max Planck Institut für Mathematik at Leipzig, Germany)

·         Navid Nemati (Institut de Mathématiques de Jussieu-Paris Rive Gauche, France)

·         Gleb Nenashev (Stockholm University, Sweden)

·         Eran Nevo (Hebrew University, Israel)

·         Lisa Nicklasson (Stockholm University, Sweden)

·         Giorgio Ottaviani (Università di Firenze, Italy)

·         Martì Salat Molto (Universitat de Barcelona, Spain)

·         Yongsu Shin (Sungshin Women’s University, Seoul, South Korea)

·         Larry Smith (Göttingen University, Germany)

·         Tomasz Szemberg (Pedagogical University of Cracow, Poland)

·         Justyna Szpond (Pedagogical University of Cracow, Poland)

·         Jean Vallès (University of Pau and Pays de l’Adour, France)

·         Akihito Wachi (Hokkaido University, Japan)

·         Junzo Watanabe (Tokai University, Japan)

Click here to see the program and here the abstracts of the talks.

Confirmed Participants

Click here to see the list.

Applications

The workshop will be restricted to a limited number of invited participants and a few interested participants. Interested researchers in attending the workshop have to submit our application form to the Secretary of CIRM.

No registration fee will be charged.

Deadline for application: May 15th, 2018.

Logistic Information

The workshop will be held in the conference hall of the Bellavista Relax Hotel in Levico Terme (Trento). Participants will be lodged in the same hotel. Arrival day is Sunday, June 24th  in the afternoon/evening. Scientific works will start in the morning of Monday, June 25th  and end on Friday, June 29th after the lunch. Departure day is Friday, June 29th  after lunch.

The cost for the full board at Bellavista Relax Hotel is:

·         94,30 EUR per night in a single bedroom, tourist tax included,

·         69,30 EUR per night per person in a double bedroom, tourist tax included.

Please click here to find Information to reach Levico Terme and the conference site.

 

Sponsors

·         CIRM – Fondazione Bruno Kessler

·         Foundation Compositio Mathematica

·         GNSAGA-INdAM

·         Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II

·         Progetto PRIN “Geometry of Algebraic Varieties”

·         A.P.T. Valsugana

·         Comune di Levico Terme