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Two advanced courses in functional analysis
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Two advanced courses in functional analysis.
July2 - July 4
Nikolai Nikolski (Universite Bordeaux 1), "Schauder Bases Geometry in Hilbert spaces"
Vladimir Eiderman (University of Wisconsin–Madison), "Topics in the Singular Integrals Theory"
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Chebyshev Lab Minicourse: Yurii Lyubarskii, (NTNU), "Introduction to Gabor analysis"
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Yurii Lyubarskii(NTNU) will give a minicourse "Introduction to Gabor analysis". The minicourse will take place on April 2 - 7, 2012. For more information see Minicourse abstract.
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Chebyshev Lab Minicourse: Vladimir Mazia, "Sobolev inequalities for "bad" sets and weights"
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Vladimir Mazia will give a minicourse "Sobolev inequalities for "bad" sets and weights". The minicourse will take place on April 5 - 13, 2012. For more information see Minicourse abstract.
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Chebyshev Lab Minicourse: Alex Sobolev (University College London, UK), "The Szegoe formula and pseudo-di fferential operators with discontinuous symbols"
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Alex Sobolev (University College London, UK) will give a mnicourse "The Szegoe formula and pseudo-di fferential operators with discontinuous symbols". The minicourse will take place on March 27 - April 13, 2012. For more information see Minicourse abstract.
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Chebyshev Lab Minicourse: Enzo Orsingher (Roma), "Fractional calculus and applications to stochastic processes"
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Enzo Orsingher (Roma) will give a minicourse "Fractional calculus and applications to stochastic processes"The minicourse will take place on March 24 - April 4, 2012. For more information see Minicourse abstract.
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Chebyshev Lab Colloquium: A.Sobolevski, K.Khanin, "Dynamics inside singularities of viscosity solutions to the Hamilton-Jacobi equation"
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Chebyshev Lab Colloquium: A.Sobolevski (IITP RAS), K.Khanin (University of Toronto), "Dynamics inside singularities of viscosity solutions to the Hamilton-Jacobi equation"
will take place on Thursday, February 16th, at 17:00 in room 31.
Abstract:
It is well known that, after finite time, solutions to Hamilton--Jacobi equations develop singularities where smoothness is lost; these solutions can be constructed, e.g., using the method of characteristics. Extending classical characteristics into the singularities is, of course, not possible, and a proper generalization of this notion becomes necessary. The commonly known definition of generalized characteristics according to P. Cannarsa suffers from lack of uniqueness: in general, the velocity of a generalized characteristic issued from a given point of singularity takes values from a continuous set, and the uniqueness is only restored if either the space is one-dimensional or the Hamiltonian is quadratic. We propose an approach based on the regularization by "vanishing viscosity," which utilizes the convex structure of the Hamiltonian more economically and leads to a unique definition of the velocity in any dimension. Interestingly, a similar regularization by "weak noise" does not ensure uniqueness when the dimension is three or more.
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Chebyshev Lab Minicourse: Konstantin Fedorovskiy, "Approximation by analytic functions"
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The minicourse will take place on January 27 - 31, 2012. For more information see Minicourse abstract.
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Chebyshev Lab Minicourse: Sergei Nazarov, "The enforced stability of eigenvalues in the continuous spectrum of waveguides"
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The minicourse will take place on January 23 - 27, 2012. For more information see Minicourse abstract..
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Chebyshev Lab Minicourse: Alexei Grinbaum (CEA-Saclay, France), "Mathematical structures in quantum logic and their contemporary applications"
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Preliminary dates: December 13 (Tue), 15 (Thu), 17 (Sat) at 15:00.
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Alexandre Borichev (Universite de Provence) will give a minicourse "Asymptotically holomorphic functions"
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Lecture 1: November 19, 15:00, room 38.
Lecture 2: November 21, 13:00, room 38.
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Chebyshev Lab Colloquium: Nikolai Nikolsky (Universite Bordeaux-1/PDMI), 03.11.2011
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The colloquium will start at 17.00, room 31.
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Grisha Kolutsky (IITP RAS, Moscow; Chebyshev Lab, St.P.) will give a minicourse "Limit Cycles: from Basics to the Hilbert-Smale Problem"
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The minicourse starts Tuesday, November 1, at 16.00 in room 38.
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N. Nikolski (Universite Bordeaux-1/PDMI) will give a minicourse "Approximation problems arising from the Riemann Hypothesis"
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N. Nikolski (Universite Bordeaux-1/PDMI) will give a minicourse. Announcement in Russian
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S.V.Kislyakov (PDMI) will give a minicourse "Milyutin's Theorem"
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S.V.Kislyakov give a minicourse "Milyutin's Theorem". Announcement in Russian
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A. Bufetov (Steklov MI RAS - IITP RAS - HSE - IMU (Moscow) & Rice University ) will give a minicourse "Levy random fields"
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A. Bufetov (Rice University) will give a minicourse "Levy random fields" Announcement in Russian
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