TRINO - Algebraic Geometry Seminar - Tuesday 20 January, at 14:30 - Carolina Araujo

[ICTP Math Section]

_*TRINO ALGEBRAIC GEOMETRY SEMINAR*_

Tuesday 20 January, at 14:30


*Venue:* ICTP Leonardo Building - Lagrange Lecture Hall (In-Person)

*Speaker:* Carolina Araujo (IMPA)

*Title:* Higher Fano manifolds

*Abstract:* Fano manifolds are complex projective manifolds with 
positive first Chern class. This condition has far-reaching geometric 
and arithmetic implications, making Fano manifolds a central topic in 
algebraic geometry. In recent years, there has been some effort towards 
defining suitable higher analogues of the Fano condition. Higher Fano 
manifolds are expected to enjoy stronger versions of several of the nice 
properties of Fano manifolds.

In this talk, I will survey the theory of higher Fano manifolds, defined 
in terms of positivity of higher Chern characters. I will also present 
recent joint work with Roya Beheshti, Ana-Maria Castravet, Kelly 
Jabbusch, Svetlana Makarova, Enrica Mazzon and Nivedita Viswanathan on 
toric higher Fano manifolds.