Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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2017 Torino/Trento School (and Workshop) on Syzygies

created by daniele on 11 Nov 2016

4 sep 2017 - 9 sep 2017

Trento

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SCHOOL (AND WORKSHOP) ON SYZYGIES
TRENTO, SEPTEMBER 4-9, 2017

First announcement

Lecturers.
M. Chardin (Université Pierre et Marie Curie – Fr)
M.E. Rossi (Università di Genova – It)

Supporting lecturers.
M. Boij (KTH Stockholm – Se)
E. Carlini (Politecnico di Torino – It)

Organizers.
The School/Workshop is organized by G. Casnati, F. Galluzzi, R. Notari, F. Vaccarino. For contacting the organizers send a mail to

geometri nospam calvino.polito.it

The School/Workshop is supported by CIRM-Fondazione Bruno Kessler (formerly CIRM-ITC).
The School and the Workshop will take place at

Fondazione Bruno Kessler-IRST
via Sommarive, 18
38050 Povo (Trento) - Italy

Aim of the School.
The School is mainly aimed to PhD students and young researchers in Algebraic Geometry, introducing the participants to research, beginning from a basic level with a view towards the applications and to the most recent results. A tentative program is as follows.

M. Chardin.
Notions and tools of homological nature. Complexes, spectral sequences associated to a double complex. Tor and Ext modules, local cohomology and local duality. Castelnuovo-Mumford regularity. Basic properties and examples from geometry (curves). Powers of ideals. Asymptotic behavior of regularity, local cohomology and Betti tables. Rees algebras and symmetric algebras. Geometric interpretation of the asymptotic behavior of regularity. Koszul homology, approximation complexes and applications to the study of rational maps.

M.E. Rossi.
Hilbert functions and Syzygies. Graded minimal free resolutions. Resolutions of points in the projective space and their geometry. Castelnuovo Lemma and generalizations. Computational aspects of the free resolutions. An introduction to Boij-Söderberg theory and the multiplicity conjecture. Castelnuovo-Mumford regularity: Kleiman’s result; recent developments concerning Eisenbud-Goto and Stilmann conjectures. Infinite free resolutions and Koszul algebras.

Further announcements.
A more detailed second announcement (containing information on accommodation, registration, and financial supports) will follow probably in February 2017.

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