### December

M T W T F S S

1

2

3

4

5

6

7

8

9

10

11

13

14

15

16

17

18

20

21

22

23

24

25

26

27

28

29

30

31

Responsabili:

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

## Evento

Titolo: Two invariants related to two conjectures due to Nagata
Quando: 22/09/2022 - 09:30
Dove: Politecnico di Torino - TORINO
Aula: Aula Buzano
Relatore: Michel Waldschmidt
Afferenza: Sorbonne,Paris
Locandina:

## Descrizione:

Abstract : Seshadri’s constant is related to a conjecture due to Nagata. Another conjecture, al-
so due to Nagata and solved by Bombieri in 1970, is related with algebraic values of
meromorphic functions. The main argument of Bombieri’s proof leads to a Schwarz
Lemma in several variables, the proof of which gives rise to another invariant associa-
ted with symbolic powers of the ideal of functions vanishing on a finite set of points.
This invariant is an asymptotic measure of the least degree of a polynomial in seve-
ral variables with given order of vanishing on a finite set of points. Recent works on
the resurgence of ideals of points and the containment problem compare powers and
symbolic powers of ideals.

## Sede

Indirizzo: corso Duca degli Abruzzi, 24
CAP: 10129
Città: TORINO