Presents a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Bang-Yen Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces.
Focuses on the combined power-type nonlinear Schrodinger equations with energy-critical growth, and studies the solutions slightly above the ground state threshold at low frequencies to obtain a so-called nine-set theory developed by Nakanishi and Schlag.
Provides ten seminars that cover the fundamental topics in school geometry, including all of the significant topics in high school geometry. The seminars are crafted to... Læs mere
Intends to bridge between introductory set theory courses and advanced monographs that cover selected branches of set... Læs mere
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In... Læs mere
Presents the fundamentals of non-archimedean dynamics, including a unified exposition of Rivera-Letelier's classification theorem, as well as results on... Læs mere
Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900. It asked for a general algorithm to... Læs mere