A tropical version of Fano schemes

Seminar: 
BATMOBYLE
Event time: 
Thursday, November 29, 2018 - 11:00am
Location: 
Hillhouse 17, Room 101 (TEAL)
Speaker: 
Sara Lamboglia
Speaker affiliation: 
Frankfurt
Event description: 

The classical Fano scheme $F_d(X)$ of a variety X parametrises $d$-dimensional linear spaces contained in X. In this talk I am going to define a tropical analogue of the Fano scheme $F_d( trop X)$ and  I will show its relation with the tropicalization  $trop F_d(X)$ of the classical Fano scheme. In particular I will focus on the tropical version of Fano schemes of tropicalized linear spaces and tropicalized  toric varieties.

Research Area(s):