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Explore advanced mathematical concepts in this conference talk where Andrei Okounkov presents his research on stable envelopes for critical loci, delivered as part of the ICBS2025 conference series hosted by BIMSA. Delve into sophisticated algebraic geometry and representation theory as Okounkov discusses the construction and properties of stable envelopes, which serve as fundamental tools in the study of equivariant cohomology and K-theory of algebraic varieties. Learn about the geometric and combinatorial aspects of critical loci and how stable envelopes provide a systematic approach to understanding their structure. Gain insights into the applications of these mathematical objects in various areas including integrable systems, quantum field theory, and enumerative geometry. Follow along as the speaker presents rigorous mathematical proofs, examples, and connections to other areas of modern mathematics, making this presentation valuable for researchers and advanced students working in algebraic geometry, representation theory, and related mathematical fields.
