Current developments in mathematics, 1997. Papers from the conference held in Cambridge, MA, USA, 1997. (English) Zbl 0927.00019

Bott, Raoul

Boston, MA: International Press. ii, 266 p. (1999).

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Contents: Alain Connes, Trace formula on the adele class space and Weil positivity (5–64); Lawrence C. Evans, Partial differential equations and Monge-Kantorovich mass transfer (65–126); Peter Sarnak, Quantum chaos, symmetry and zeta functions. Lecture I. Quantum chaos (127–144); Peter Sarnak, Quantum chaos, symmetry and zeta functions. Lecture II. Zeta functions (145–159); Wolfgang Soergel, Character formulas for tilting modules over quantum groups at roots of one (161–172); Andrei Suslin, Voevodsky’s proof of the Milnor conjecture (173–188); U. Frisch, Is there finite-time blow-up in 3-D Euler flow? (193–195); E. Lieb, Problems (197–198); Barry Mazur, Open problems in number theory (199–203); Cliff Taubes, Open problems in geometry and topology (205–208); J. Bourgain, The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity (211–212); Walter Craig, Singularities of Schrödinger’s equation and recurrent bicharacteristic flow (213–218); Guy David, Global minimizers of the Mumford-Shah functional (219–224); L. Escauriaza, The modified Bers conjecture (225–226); Manoussos G. Grillakis, The wave map problem (227–230); Nikolai Nadirashvili, Geometry of nodal sets and multiplicity of eigenvalues (231–235); Thomas Wolff, Questions related to the dimension of Kakeya sets (237–241); Zhouping Xin, Open problems in partial differential equations arising from fluid dynamics (243–266).
The articles of mathematical interest will be reviewed individually.
Indexed articles:
Connes, Alain, Trace formula on the adèle class space and Weil positivity., 5-64 [Zbl 1039.11083]
Evans, Lawrence C., Partial differential equations and Monge-Kantorovich mass transfer, 65-126 [Zbl 0954.35011]
Sarnak, Peter, Quantum chaos, symmetry and zeta functions. Lecture I: Quantum chaos, Lecture II: Zeta functions, 127-144, 145-159 [Zbl 0954.11018]
Soergel, Wolfgang, Character formulas for tilting modules over quantum groups at roots of one, 161-172 [Zbl 0964.17020]
Suslin, Andrei, Voevodsky’s proof of the Milnor conjecture, 173-188 [Zbl 0951.19004]
Frisch, U., Is there finite-time blow-up in 3-D Euler flow?, 193-195 [Zbl 1384.35062]
Lieb, E., Problems, 197-198 [Zbl 1384.81005]
Mazur, Barry, Open problems in number theory, 199-203 [Zbl 1384.11001]
Taubes, Cliff, Open problems in geometry and topology, 205-208 [Zbl 1384.57001]
Bourgain, J., The Cauchy problem for nonlinear Schrödinger equation (NLS) with critical nonlinearity, 211-212 [Zbl 1384.35115]
Craig, Walter, Singularities of Schrödinger’s equation and recurrent bicharacteristic flow, 213-218 [Zbl 1384.35017]
David, Guy, Global minimizers of the Mumford-Shah functional, 219-224 [Zbl 1384.49004]
Escauriaza, L., The modified Bers conjecture, 225-226 [Zbl 1384.31002]
Grillakis, Manoussos G., The wave map problem, 227-230 [Zbl 1384.58017]
Nadirashvili, Nikolai, Geometry of nodal sets and multiplicity of eigenvalues (with an appendix by S.-T. Yau), 231-235 [Zbl 1384.58022]
Wolff, Thomas, Questions related to the dimension of Kakeya sets, 237-241 [Zbl 1384.43003]
Xin, Zhouping, Open problems in partial differential equations arising from fluid dynamics, 243-266 [Zbl 1384.35101]

MSC:

00B25

Proceedings of conferences of miscellaneous specific interest

Keywords:

Conference; Proceedings; Cambridge, MA (USA); Current developments