Hendrik Süß
Hendrik Suess
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GLEN seminar in Manchester

The meeting will be held on the 28 February and 1 March in the Alan Turing Building (directions) at the University of Manchester. All talks take place in Frank Adams Room 1 on the first floor.

Thursday, 28 February

13:00-14:00 Susanna Zimmermann (Angers)
tbc
14:30-15:30 Ana-Maria Castravet (Versaille)
tbc
16:00-17:00 Jesus Martinez Garcia (Bath )
The moduli continuity method for log Fano pairs

Friday, 1 March

9:30-10:30 Gregory Sankaran (Bath)
tbc
10:45-11:45 Vicky Hoskins (Berlin)
tbc
12:15-13:15 Yohan Brunebarbe (Bordeaux)
tbc
Further to the talks, we will have a social dinner on Thursday evening.

Organisers:

Christopher Frei, Daniel Loughran, Hendrik Süß

Travel Expenses

We have funding to support the attendance of PhD students, please contact Johan Martens (johan.martens@ed.ac.uk).

The meeting is supported by the LMS.

Abstracts

Yohan Brunebarbe: tbc

Ana-Maria Castravet: tbc

Jesus Martinez Garcia: The moduli continuity method for log Fano pairs

The existence of a Kähler-Einstein metric on a Q-Gorenstein smoothable Fano variety is equivalent to the algebro-geometric property of K-stability. It is natural to perturb the metric along a pluri-anticanonical divisor, which gives rise to the equivalent property of log K-stability for log pairs. The 'moduli continuity method' has permitted to explicitly realise certain connected components of the moduli of K-stable Fano varieties as GIT quotients. In this talk, we extend the method to log pairs to study some fundamental examples, including log pairs formed by a cubic surface and an anti-canonical divisor, and those formed by projective space and hyperplane sections of high degree. As an application, we show that the moduli of log pairs in these examples is projective.

Vicky Hoskins: tbc

Gregory Sankaran: tbc

Susanna Zimmermann: tbc