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Explore a comprehensive mathematics seminar where Professor Zhiwei Yun presents recent developments in Soergel functors and their applications in geometric representation theory. Learn how these functors can simplify complex categorical descriptions into more manageable module structures over rings, with particular focus on their role in establishing equivalences between seemingly unrelated categories. Discover the latest research findings involving Hecke categories and their module categories derived from real groups, drawing from collaborative work with Bezrukavnikov, Lusztig, Ionov, Dhillon, Yau-Wing Li, and Xinwen Zhu.