Seminar by Prof. Meng Chen on Friday, May 29th, at 3 PM

[PERRONI FABIO]

UNIVERSITA’ DEGLI STUDI DI TRIESTE
DIPARTIMENTO DI MATEMATICA, INFORMATICA E GEOSCIENZE

SEMINAR ANNOUNCEMENT

Friday, May 29th, 2026, at 3 pm.

Prof. Meng Chen (Fudan University, Shanghai, China) will give a seminar.

Title: On general type varieties admitting global holomorphic forms.

Abstract: For all nonsingular projective n-folds V of general type, we prove the existence of Noether type inequalities in the following form:
vol(V) \geq a_{n,k}h^0(\Omega_V^k)-b_{n,k}

where 0< k\leq n, a_{n,k} and b_{n,k} are positive constants only depending on n and k.

As applications, we determine the minimal volume for 3-folds of general type with

\chi(\mathcal{O})\neq 2,3 and disclose a new type of lifting principles for the sequence of canonical stability indices for varieties of general type.

Finally we prove a theorem about ``strong lifting principle'' on varieties X of general type with q>\dim(X).This is based on a joint work with Zhi Jiang.

Venue: Seminar Room of the Department (Sezione di Matematica, H2 building, Via Valerio 12/1, 3rd floor, room 334).
Everyone interested is welcome to attend.
Best regards

--
Fabio Perroni
Professore | Professor
Università degli Studi di Trieste | University of Trieste
Dipartimento di Matematica, Informatica e Geoscienze
Via Valerio, 12/1 - 34127 Trieste (Italy)
fperroni at units.it<mailto:fperroni at units.it>
Tel.| Ph. +39 040 558 2639<tel:+390405582639>