Lefschetz Properties and Jordan Type in
Algebra, Geometry and Combinatorics
Bellavista Relax Hotel, Levico Terme
(Trento), Italy
June 25.th- 29.th, 2018
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Lago di Levico - Fototeca Trentino SPA
– Foto Flavio Faganello |
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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) |
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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. |
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Confirmed List of Participants and Program |
·
Nancy Abdallah (Linköping University, Sweden) ·
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) ·
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. |
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Confirmed Participants |
Click here to see the
list. |
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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. |
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Logistic
Information |
The workshop will be held
in the conference hall of the Bellavista Relax Hotel in Levico
Terme ( 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. |
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Sponsors |
· CIRM – Fondazione Bruno Kessler · Foundation Compositio Mathematica · Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II ·
Progetto PRIN “Geometry of Algebraic Varieties” |
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