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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.
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.
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.
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.
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.
11-15 September 2017
There will be four lecturers, and each will give a series of four one-hour lectures.
|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|
|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|
18-22 September 2017
|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|
|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"|
The talks are 50 minutes, ending about 30 minutes before the concerts at the Enescu Festival start.
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.
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.
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.
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.
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)
| Clay Mathematics
|ERC Advanced Grant||Compositio Foundation||George Enescu Festival 2017|| AXXESS CAPITAL /
|The Research Insitute of the University of Bucharest|