Quantization, Pdes, And Geometry: The Interplay Of Analysis And Mathematical Physics (operator Theory: Advances And Applications)
by Ingo Witt /
2016 / English / PDF
4.5 MB Download
This book presents four survey articles on different topics in
mathematical analysis that are closely linked to concepts and
applications in physics. Specifically, it discusses global
aspects of elliptic PDEs, Berezin-Toeplitz quantization, the
stability of solitary waves, and sub-Riemannian geometry. The
contributions are based on lectures given by distinguished
experts at a summer school in Göttingen. The authors explain
fundamental concepts and ideas and present them clearly. Starting
from basic notions, these course notes take the reader to the
point of current research, highlighting new challenges and
addressing unsolved problems at the interface between mathematics
and physics. All contributions are of interest to researchers in
the respective fields, but they are also accessible to graduate
students.
This book presents four survey articles on different topics in
mathematical analysis that are closely linked to concepts and
applications in physics. Specifically, it discusses global
aspects of elliptic PDEs, Berezin-Toeplitz quantization, the
stability of solitary waves, and sub-Riemannian geometry. The
contributions are based on lectures given by distinguished
experts at a summer school in Göttingen. The authors explain
fundamental concepts and ideas and present them clearly. Starting
from basic notions, these course notes take the reader to the
point of current research, highlighting new challenges and
addressing unsolved problems at the interface between mathematics
and physics. All contributions are of interest to researchers in
the respective fields, but they are also accessible to graduate
students.
