CONFERENCE SUMMER SCHOOL WORKSHOP: MATHEMATICS OF TOPOLOGICAL PHASES OF MATTER

Abstract

Topology plays a vital role in our understanding of phases of matter and their phase transitions, quantum entanglement, and quantum computing. The discovery of topological materials is a milestone in physics that has been celebrated by several Nobel prizes. But the mathematics of topological phases is still in its infancy and this summer school will lay the foundations for further development. The application of topology to physics has become an integral part of a second quantum revolution in the sciences. The discovery of topological insulators and progress towards topological superconductors realizing non-abelian statistics has moved topological phases of matter onto the center stage in the interaction of topology and physics beyond the quantum Hall effect. This summer school will have a lasting impact on the development of the subject by enhancing connections between physics and mathematical communities.

Document Details

Document Type
DoD Grant Award
Publication Date
Aug 12, 2021
Source ID
FA95502010264

Entities

People

  • Dimitri Shlyakhtenko

Organizations

  • Air Force Office of Scientific Research
  • United States Air Force
  • University of California, Los Angeles

Tags

Fields of Study

  • Physics

Readers

  • Academic Conference Management
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene
  • Quantum Computing