2 Instruments of Algebraic Geometry
INSTRUMENTS OF ALGEBRAIC GEOMETRY
Bucharest, 11-22 September 2017

A summer school and workshop will take place in Bucharest in September 2017. Their goal is to cover some active topics in algebraic geometry: homological methods, discrete and arithmetic aspects, and singularities. Besides the mathematics, a special feature of this event will be a close relation to the George Enescu Music Festival, which takes place in Bucharest every other year. Moreover, an IMAGINARY exhibition will be presented during the three weeks of the festival, and further events involving a direct interaction of mathematics and music - and of mathematicians and musicians - are planned.

Limited financial support for participants will be available. Priority will be given to Ph.D. students and early career researchers with excellent scientific recommendations and exceptional promise. The application deadline for financial support is 1st June 2017.

Please use the link below to register.

Registration

ORGANIZERS

Klaus Altmann (FU Berlin)
Marian Aprodu (U Bucharest & IMAR)
Alexandru Constantinescu (U Genova & IMAR)
Hélène Esnault (FU Berlin)



TOPICS
click to expand

Homological methods
Syzygies of a projective variety are very fine numerical invariants that control the embedding of the variety. From the syzygies, one can easily recover the Hilbert function, however, their outmost importance comes from the fact that they carry intrinsic geometric properties. They can be used to extract information on the geometry of moduli spaces of polarized varieties.

Discrete aspects
They originate in the theory of toric varieties linking algebraic varieties to convex geometry and combinatorics. Nowadays, the field has expanded into several directions like tropical geometry, Berkovich-spaces, and Newton-Okounkov bodies. Algebro-geometric theories like the minimal model program have counterparts in discrete geometry.

Singularities
Singularity theory is essential in the classification of algebraic varieties. While the classification in dimension one and two can be done in the smooth setting, from dimension three on the minimal model program heavily relies on singular varieties. Moreover, they play an interesting role in mirror symmetry where resolutions and deformations are interchanged.

Arithmetic geometry
With Peter Scholze being one of the speakers for a series of four lectures, we shall focus on perfectoid spaces, and integral de Rham theory. With Yves André being one of the lecturers, we shall have some emphasis on motivic theory over fields, and periods. In addition, we expect some activity around the study of rational points and the index of specific varieties over p-adic fields and number fields. This should be covered by Olivier Wittenberg and other mathematicians around him.


SCHOOL
11-15 September 2017


STRUCTURE

There will be four lecturers, and each will give a series of four one-hour lectures.

LECTURERS *

David Eisenbud (Berkeley)
June Huh (Princeton)
Peter Scholze (Bonn)
Duco van Straten (Mainz)

* further confirmation is needed


CONFERENCE
18-22 September 2017


STRUCTURE

There will be at most five 50-minutes-talks per day, ending in the early afternoon (before 16:00).

SPEAKERS *

Yves André (Paris)
Ana Caraiani (Bonn)
Ivan Cheltsov (Edinburgh)
Aldo Conca (Genoa)
Alessio Corti (Imperial)
Alexandru Dimca (Nice)
David Eisenbud (Berkeley)
Gavril Farkas (Berlin)
Sergey Galkin (Moscow)
Milena Hering (Edinburgh)
June Huh (Princeton)
Daniel Huybrechts (Bonn)
Sándor Kovács (Seattle)
Robert Lazarsfeld (Stony Brook)
Mircea Mustaƫă (Michigan)
Claudiu Raicu (Notre Dame)
Maria Evelina Rossi (Genoa)
Peter Scholze (Bonn)
Frank Olaf Schreyer (Saarbrücken)
Duco van Straten (Mainz)
Annette Werner (Frankfurt)
Jaroslaw Wisniewski (Warsaw)

* further confirmation needed for most speakers.


THE ENESCU FESTIVAL 2017
2-24 September 2017


The George Enescu Festival is held in Bucharest every other year, and is maybe the most important music festival in Eastern Europe. In 2017 Zubin Mehta will be the Honorary President. The festival consists of three weeks of concerts, and every weekend special events dedicated to contemporary music will take place.

PROGRAMME

You can find the programme here. Ticket sales will start in November 2016.


INTERACTION WITH THE FESTIVAL

In the frame of the conference, composer François Nicolas will talk to mathematicians about music. Further joint public discussions with musicians and mathematicians will be organised. Among others, some of the composers presenting their work in the contemporary music workshop will be part of these discussions. A joint social event is also being planed.

IMAGINARY

In the foyers of the concert halls an IMAGINARY exhibition will be shown. It will contain a part about algebraic surfaces, and interactive exhibits about the overalps of music and mathematics.

VENUES

The main concert halls are Sala Palatului and Ateneul Român. Both are less than 800m away from the conference venue. The workshop "Music of the 21st Century" will take place every weekend (Friday to Sunday) at Sala Radio - another 1.2 km further away.


Sponsors

Clay Mathematics Insitute
European Research Council "Advanced Grant" of Hélène Esnault
George Enescu Festival
University of Bucharest
Mathematics Institute of the Romanian Academy (IMAR)