BPS states provide a computable sector for addressing fundamental questions on non-perturbative dynamics in both gauge theory and string theory.
Significant progress on this subject has emerged in recent years from various directions of research, spurred by foundational work on Wall-Crossing within the past decade. The workshop will focus on the most recent developments on the identification of novel BPS algebras in physics, on the formulation and computation of new types of Donaldson-Thomas invariants, and on progress in the study of D-brane bound states in string theory on non-compact Calabi-Yau threefolds.
This interdisciplinary workshop will bring together researchers from different fields to highlight and discuss recent developments on algebraic and geometric aspects of BPS states in string theory and in mathematics. The workshop will provide a platform to explore new connections among parallel developments on BPS wall-crossing, Donaldson-Thomas theory, newly discovered families of Yangian algebras and Koszul duality, with the aim to identify new directions and opportunities for advancing research in each of these topics.
