Trends in Contemporary Mathematics

Front Matter....Pages i-x
Interpolation and Comparison Methods in the Mean Field Spin Glass Model....Pages 1-12
Integrability of Dirac Reduced Bi-Hamiltonian Equations....Pages 13-32
Some Open Problems About Aspherical Closed Manifolds....Pages 33-46
Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions....Pages 47-57
Exploring Noncommutative Algebras via Deformation Theory....Pages 59-72
Mathematical Models and Solutions for the Analysis of Human Genotypes....Pages 73-84
Kodaira-Spencer Formality of Products of Complex Manifolds....Pages 85-95
Monomial Transformations of the Projective Space....Pages 97-103
Progress in the Theory of Nonlinear Diffusion: Asymptotics via Entropy Methods....Pages 105-124
Challenges in Geometric Numerical Integration....Pages 125-135
Integral Hodge Classes, Decompositions of the Diagonal, and Rationality Questions....Pages 137-149
Unlikely Intersections and Pell’s Equations in Polynomials....Pages 151-169
Birational Geometry of Projective Varieties and Directed Graphs....Pages 171-180
Dynkin and Extended Dynkin Diagrams....Pages 181-193
Tracking Control of 1D Scalar Conservation Laws in the Presence of Shocks....Pages 195-219
Finite Simple Groups of Small Essential Dimension....Pages 221-228
Geometric Constructions of Extremal Metrics on Complex Manifolds....Pages 229-247
Deriving Ohm’s Law from the Vlasov-Maxwell-Boltzmann System....Pages 249-262
Kinetic Theory and Gas Dynamics, Some Historical Perspectives....Pages 263-276
Recent Advances in Nonlinear Potential Theory....Pages 277-292
Partial Regularity Results in Optimal Transportation....Pages 293-307