“Fizmatclub” or “Phys-Math Club” (Physics and Mathematics Club of

Steklov Institute of Mathematics at Saint-Petersburg)

Fizmatclub is a formally nonexistent educational organization. The

mission is to present a choice of courses in modern mathematics and

mathematical physics to those students of St. Petersburg universities

who really need it and ready to spend an extra time tonight and at

weekends. The attendance on our courses is free for everyone. The

students are encouraged to pass exams at the end of the courses, but

it is not a necessary requirement. Successful and active students who

demonstrate high skills in theory and especially in solving nontrivial

problems can expect a carrier support from the top mathematicians of

Saint-Petersburg and a material support in attendance of Russian and

International mathematical schools for students.

Fizmatclub was started at fall 2004. Weekly the courses and seminars

are attended by the audience starting from 40 (at 2004) and up to 300

(in 2010) students. Our students are of very different age and

background. This reflects in a big diversity in the program. We have

a Sundays program for senior high school students and primary undergraduates.

There the aim is to fill gaps in school education, for example so called “Feynman program” is devoted to reading “Lectures on Physics” by Richard Feynman with detailed

discussing of the background mathematics. The same audience are

addressed various courses with the aim to show how elementary problems

can easily turn to be very deep. To level gaps in university

education we are specially supporting students-for-students courses

and seminars, where strong graduate students are teaching and

directing younger or less educated students. Also we are supporting

students self-education reading seminars especially for modern

subjects where qualified lectures are not available is St. Petersburg

(sadly, there is a lot of such subjects now). On such

student-to-student courses and seminars the circles of scientific

friends are formed and this is very important from our point of view.

The main core of the program is various advanced courses and seminars

addressed to postgraduate and PhD students. Here the stress is made

on broadening the scientific horizon, one of the slogans is

“Mathematicians should learn physics, physicists should learn modern

mathematics”. For Saint-Petersburg we have recovered after the long

break the systematic courses in Algebraic Geometry, modern Quantum

Field Theory (understandable for mathematicians), Geometric Measure

Theory and many others. We have a unique course in now proved to be

very important A.D. Aleksandov Metric Geometry. Due to lack of

lecturers on many important subjects we are developing live Internet

lectures and seminars where students are lectured by lecturers from

Moscow and from abroad.

The detailed information on Fizmatclub activity is available in Russian

at our site http://club.pdmi.ras.ru

List of Fizmatclub courses for the fall 2010

Fizmatclub is governed by informal Scietific Counsil and enjoys full

support of St. Petersburg mathematical community. It uses the

infrastructure of Steklov Institute of Mathematics at

Saint-Petersburg. Fizmatclub is currently sponsored half-to half by

Russian Academy of Sciences and D. Zymin's "Dynasty" foundation.

Admistarator of Fizmatclub is Nikolai Mnev (PDMI, SPbSU)

Steklov Institute of Mathematics at Saint-Petersburg)

Fizmatclub is a formally nonexistent educational organization. The

mission is to present a choice of courses in modern mathematics and

mathematical physics to those students of St. Petersburg universities

who really need it and ready to spend an extra time tonight and at

weekends. The attendance on our courses is free for everyone. The

students are encouraged to pass exams at the end of the courses, but

it is not a necessary requirement. Successful and active students who

demonstrate high skills in theory and especially in solving nontrivial

problems can expect a carrier support from the top mathematicians of

Saint-Petersburg and a material support in attendance of Russian and

International mathematical schools for students.

Fizmatclub was started at fall 2004. Weekly the courses and seminars

are attended by the audience starting from 40 (at 2004) and up to 300

(in 2010) students. Our students are of very different age and

background. This reflects in a big diversity in the program. We have

a Sundays program for senior high school students and primary undergraduates.

There the aim is to fill gaps in school education, for example so called “Feynman program” is devoted to reading “Lectures on Physics” by Richard Feynman with detailed

discussing of the background mathematics. The same audience are

addressed various courses with the aim to show how elementary problems

can easily turn to be very deep. To level gaps in university

education we are specially supporting students-for-students courses

and seminars, where strong graduate students are teaching and

directing younger or less educated students. Also we are supporting

students self-education reading seminars especially for modern

subjects where qualified lectures are not available is St. Petersburg

(sadly, there is a lot of such subjects now). On such

student-to-student courses and seminars the circles of scientific

friends are formed and this is very important from our point of view.

The main core of the program is various advanced courses and seminars

addressed to postgraduate and PhD students. Here the stress is made

on broadening the scientific horizon, one of the slogans is

“Mathematicians should learn physics, physicists should learn modern

mathematics”. For Saint-Petersburg we have recovered after the long

break the systematic courses in Algebraic Geometry, modern Quantum

Field Theory (understandable for mathematicians), Geometric Measure

Theory and many others. We have a unique course in now proved to be

very important A.D. Aleksandov Metric Geometry. Due to lack of

lecturers on many important subjects we are developing live Internet

lectures and seminars where students are lectured by lecturers from

Moscow and from abroad.

The detailed information on Fizmatclub activity is available in Russian

at our site http://club.pdmi.ras.ru

List of Fizmatclub courses for the fall 2010

- I. Frenkel (Yale , USA) "Representation theory and Physics" (recordings are available http://club.pdmi.ras.ru/moodle/course/view.php?id=61)
- A. Vershik (PDMI) "Combinatorial mesure theory"
- S. Ivanov (PDMI) "Metric geometry and Aleksandrov spaces" (lectures)
- N. Kosovskij (SPbSU) "Metric geometry and Aleksandrov spaces" (seminar)
- P. Mnev (PDMI, Uni Zurich) "Introduction to Feinman's continual integral for mathematicians" (lectures + seminar, recordings are available http://club.pdmi.ras.ru/moodle/course/view.php?id=57 )
- I. Panin (PDMI) "Algebraic geometry of projective varieties"
- Y. Porosov (Uni Pisa) "Introduction to bioinformatics"
- T. Suslina (SPbSU) "Periodic differential operators"
- D. Maximov (SPbSU) "Absolutely summing operators"
- M. Bondarko (SPbSU) "Weight and t-structures in triangulated categories. Applications to motives"
- I. Zhukov (SPbSU) "Elements of singularity theory"
- I. Zhukov (SPbSU) "Algebraic geometry and a bit of Arithmetics"
- N. Kalinin (PDMI, PhD student) "Differential topology"
- G. Panina (SPIIRAS) "Polygonal joint mechanisms" (seminar for senior high school students and primary undergraduates)
- G. Panina (SPIIRAS) "Combinatorics of convex polytopes"
- K. Pimenov (SPbSU) "Galois cohomology"
- A. Shuvaev(PNPI), E.Antonov (PNPI) "Seminar on Quantum Field Theory"
- K. Vijatkina (SPbSU) "Basics of computer geometry"
- E. Antonov (PNPI), A. Monakhov (PTI) "From classical to quantum mechanics" (seminar for undergraduates)
- M. Sorokina (SPbSU, postgraduate student), V Kasatkin (SPbSU postgraduate student) "Generalizations of Hamiltonian mechanics"
- P. Bibikov (SPbSU) "Quantum theory of one-dimensional Bose-gas"
- F. Petrov (PDMI) "Measure concentration"
- K. Pimenov (SPbSU) "Elements of classic algebraic geometry" (seminar for undergraduates )

Fizmatclub is governed by informal Scietific Counsil and enjoys full

support of St. Petersburg mathematical community. It uses the

infrastructure of Steklov Institute of Mathematics at

Saint-Petersburg. Fizmatclub is currently sponsored half-to half by

Russian Academy of Sciences and D. Zymin's "Dynasty" foundation.

Admistarator of Fizmatclub is Nikolai Mnev (PDMI, SPbSU)