Young Algebraic Geometry Meeting - Trieste 19.12.2019

[beorchia at units.it]

We advertise the following

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

YOUNG ALGEBRAIC GEOMETRY MEETING

TRIESTE, DECEMBER 19, 2019

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

VENUE: room 5B and room Aula Morin 2A
Dipartimento di Matematica e Geoscienze
via Valerio 12/1
Trieste

PROGRAM

- 10:00 - 11:00 MARTA PANIZZUT (Institut für Mathematik TU Berlin)
                        TROPICAL CUBIC SURFACES
                        room 5B - fifth floor

- 11:30 - 12:30 DE-QI ZHANG (National University of Singapore)
                        EQUIVARIANT MINIMAL MODEL PROGRAM WITH A VIEW  
TOWARDS ALGEBRAIC AND ARITHMETIC DYNAMICS
                        room 5B - fifth floor

                        Abstract: We will elaborate the notion of  
‘int-amplified’ endomorphism f of a normal projective variety X,
                        a property weaker than ‘polarized’ yet  
preserved by products. We will show that the existence of such a
                        single f guarantees that every Minimal Model  
Program (MMP) is equivariant w.r.t. a finite-index
                        submonoid of the whole monoid SEnd(X) of all  
surjective endomorphisms of X. Applications of the
                        equivariant MMP are discussed:  
Kawaguchi-Silverman conjecture on the equivalence of arithmetic
                        and dynamic degrees of an endomorphism, and  
characterization of a subvariety with Zariski dense periodic
                        points. Some parts are based on joint work with Meng.

- 14:00 - 15:00 GIORGIO SCATTAREGGIA (University of Bergen - Norway)
                         DEFORMATION THEORY OF MAXIMAL IDEAL POLARIZATIONS.
                        room Aula Morin - second floor
              

                        Abstract. In the analysis of monomial ideals,  
the operation called “polarization” is used to reduce 
                        monomial ideals to square-free monomial  
ideals. The advantage of dealing with square-free monomial
                        ideals is that one can use the Stanley-Reisner  
correspondence, which provides a correlation between
                        square-free monomial ideals and simplicial complexes.
 
                        Let k be a field, and let S = k[x_1, … , x_n]  
be the polynomial ring in n variables over k. We are interested
                        in studying the polarizations of the d-powers  
of the maximal ideal m =(x_1, … , x_n). 
 
                        In 2013 H. Lohne made a thorough investigation  
of the deformation properties of the two special cases,
                        namely the standard polarization and the box  
polarization. However, not much is known for all the other
                        possibilities.
 
                        In this seminar we recall the definition of  
polarization of a monomial ideal and we show some examples
                        of such polarizations. Then we discuss the  
case of the standard polarization and the box polarization.
                        Finally we discuss the example of a  
particularly “weird” polarization and we use a computer-algebra
                        software to get some insights of its behaviour.

- 15:00 - 16:00 LUCA SODOMACO (Aalto University, Department of  
Mathematics and Systems Analysis, Espoo, Finland)
                        ON THE EUCLIDEAN DISTANCE POLYNOMIAL OF A REAL  
ALGEBRAIC VARIETY
                        room Aula Morin - second floor

-  16:15- 17:15 FABIO TANTURRI (Dipartimento di Matematica "Giuseppe  
Peano" - Torino)
                         ON ABELIAN SURFACES, COBLE HYPERSURFACES, AND  
ORBITAL DEGENERACY LOCI
                         room Aula Morin - second floor

Organizers: V. Beorchia, E. Mezzetti, F. Perroni

EVERYBODY INTERESTED IS MUCH WELCOME TO ATTEND
 
  Valentina Beorchia, PhD
Dipartimento di Matematica e Geoscienze
Universita' degli Studi di Trieste
Via Valerio 12/1
34127 Trieste, Italia

Stanza 236, II piano
e-mail: beorchia at units.it
tel. studio (++) 040 558 2656
tel. segreteria Dip.: (++)040 558 2635 oppure 2618
fax: (++) 040 558 2636

http://www.dmi.units.it/~beorchia/