I will split this seminar in two parts. In the first part I will introduce the needed instrument in order to state Green conjecture. This part will be more foundational and it will be mostly about curves. In particular I will introduce the notions of gonality and Clifford index and I will show how, the latter, is related to the complexity of a canonical curve. This complexity will be encoded by the Koszul cohomology, an algebraic tool introduced, in the geometry context, by Mark Green in '84.In the second part I will give an idea on how Claire Voisin solved the conjecture by involving K3 surfaces. The first part will be one hour long then we will take a small break for the questions and then resume with the second part which will last half an hour and it will be more technical.
You are here
Green's conjecture, algebra describes geometry
Research Group:
Michele Graffeo
Schedule:
Friday, July 10, 2020 - 16:00
Location:
Online
Location:
Zoom, sign in to get the link
Abstract:
Openings
- Public Calls for Professors
- Temporary Professors/Researchers/Visiting Professors
- SISSA Mathematical Fellowships
- Post-Lauream Fellowships
- Research Training Fellowships
- Marie Sklodowska-Curie Grants
- Open positions in MathLab
- Post Doctoral Fellowships
- PhD Scolarships
- SIS Fellowships
- Undergraduate Fellowships
- Postgraduate Fellowships
- MSc in Mathematics
- MSc in Data Science and Scientific Computing (DSSC)
- Professional Master Courses
- The Boris Dubrovin Medal
Upcoming events
-
Danilo Lewanski
TBA
Wednesday, January 27, 2021 - 16:00
-
Gabriele Benedetti
Periodic and quasi-periodic motions for a charged particle in a strong magnetic field
Tuesday, February 9, 2021 - 15:00 to 16:00
-
Nobutaka Nakazono
TBA
Wednesday, February 10, 2021 - 13:00
Today's Lectures
-
09:00 to 11:00
-
11:00 to 13:00
-
Roberto Trotta
14:00 to 16:00
-
14:00 to 16:00
Recent publications
-
G.P. Leonardi; G. Saracco,Rigidity and trace properties...
-
G. Saracco,A sufficient criterion to dete...
-
D. Riccobelli; G. Bevilacqua,Surface tension controls the o...
-
E.N. Karatzas; G. Stabile; N. Atallah; G. Scovazzi; G. Rozza,A Reduced Order Approach for t...