INSTRUMENTS OF ALGEBRAIC GEOMETRY
Bucharest, 11-22 September 2017

Practical Info Participants Titles & Abstracts Math+Music Evening 19.09 IMAGINARY @ ENESCU Enescu Programme


Latest changes

Talks switched

Sergey Galkin's talk was moved from Monday at 14:15 to Friday at 9:00.
Alexandru Dimca's talk was moved from Friday at 09:00 to Monday at 14:15.

Change in Title and Abstract

Sergey Galkin submitted a new title and abstract:

Beautiful formulae, gauged linear sigma models and problems of semi-classical algebraic geometry
I will explain how old intsruments of diophantine and non-commutative geometry together with simple geometric constructions and few new ideas about pre-calculus of algebraic varieties, gauged linear sigma models (equivariant matrix factorizations) and dg-categories could help to attack some classical and semi-classical problems of algebraic geometry, such as rationality questions, derived equivalences, relations between moduli spaces, study of points over rational and finite fields. In particular I will tell why variety of lines on a cubic fourfold melts to a Hilbert scheme of two points on a non-commutative deformation of a K3 surface.

Schedule for the 2nd Week

Time Monday Tuesday Wednesday Thursday Friday
08:30-09:00 Registration Registration Registration Registration Registration
09:00-10:00 D. Eisenbud O. Wittenberg M. Mustaţă A. Corti S. Galkin
10:00-11:00 F.O. Schreyer M. Hering J. Poineau I. Cheltsov B. Rémy
11:00-11:30 C O F F E E B R E A K
11:30-12:30 A. Caraiani A. Conca A. Werner F. Ambro Y. André
12:30-14:15
L U N C H @13:00 Contemporary
Music concert
.
14:15-15:15 A. Dimca C. Raicu M.E. Rossi J. Wisniewski
15:15-15:20 B R E A K NO BREAK
15:20-16:20 G. Farkas S. Kovács F. Nicolas M. Verbitsky


Composer François Nicolas will lecture about "Musical heterophony and its possible echoes in mathematics"


Venue
The school and the conference will both take place in the Spiru Haret Amphitheatre on the ground floor of the Faculty of Mathematics and Computer Science, University of Bucharest
Strada Academiei 14, 010014, Bucharest



TOPICS
click to expand

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 singularitiesFaculty of Mathematics and Computer Science, University of Bucharest

A special feature of this event will be a close relation to the George Enescu Music Festival . During the three weeks of the festival, an IMAGINARY math & music exhibition will be shown in the foyer of the Mihai Jora Concert Hall, while further events involving a direct interaction of mathematics and music - and of mathematicians and musicians - are planned.

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)

SCHEDULE 11-15 SEPTEMBER
Time Monday Tuesday Wednesday Thursday Friday
09:30-10:30 Registration
+coffee
David Eisenbud
Lecture 1
David Eisenbud
Lecture 2
June Huh
Lecture 3
June Huh
Lecture 4
10:30-11:00 opening C O F F E E
11:00-12:00 Peter Scholze
Lecture 1
June Huh
Lecture 1
June Huh
Lecture 2
Duco van Straten
Lecture 4
   IMAGINARY
12:00-14:00
L U N C H @13:00 Contemporary
Music concert
.
14:00-15:00 Peter Scholze
Lecture 2
Peter Scholze
Lecture 3
Peter Scholze
Lecture 4
David Eisenbud
Lecture3
15:00-15:15 B R E A K
15:15-16:15 Duco van Straten
Lecture 1
Duco van Straten
Lecture 2
Duco van Straten
Lecture 3
David Eisenbud
Lecture 4


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

Florin Ambro (Bucharest)
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)
Sándor Kovács (Seattle)
Mircea Mustaţă (Michigan)
Jérôme Poineau (Caen)
Claudiu Raicu (Notre Dame)
Bertrand Rémy (Paris)
Maria Evelina Rossi (Genoa)
Frank Olaf Schreyer (Saarbrücken)
Misha Verbitsky (Moscow)
Annette Werner (Frankfurt)
Jaroslaw Wisniewski (Warsaw)
Olivier Wittenberg (Paris)


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.


Organizers

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

     
     
Institute of Mathematics of the Romanian Academy

Local Organizing Committee

Florin Ambro (IMAR)
Marian Aprodu (U Bucharest & IMAR)
Alexandru Constantinescu (U Genova & IMAR)
Cezar Joiţa (IMAR)
Cătălin Gherghe (U Bucharest)
Marius Vlădoiu (U Bucharest)
Victor Vuletescu (U Bucharest)

Sponsors


         
Clay Mathematics
Institute
ERC Advanced Grant Compositio Foundation George Enescu Festival 2017 AXXESS CAPITAL /
SE-GES S.A.
The Research Insitute of the University of Bucharest