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This 57-minute lecture by Professor Noga Alon at BIMSA explores mathematical concepts related to vantage points and sign patterns. Discover how to order points in plane or higher dimensional spaces according to the sum of their Euclidean distances from chosen vantage points, a concept with potential applications in Social Choice theory. Learn about the extension of Milnor and Warren's results on sign patterns of real polynomials to more general functions, which serves as a crucial mathematical tool in this research. The presentation covers work conducted with Defant, Kravitz, and Zhu, highlighting applications in Discrete Mathematics and theoretical Computer Science. Professor Alon, a distinguished mathematician at Princeton University and Professor Emeritus at Tel Aviv University, brings his expertise in Discrete Mathematics, Theoretical Computer Science, Information Theory, Combinatorial Geometry, and Combinatorial Number Theory to this insightful talk. His numerous accolades include the 2022 Shaw Prize in Mathematical Sciences, the 2022 Knuth Prize, and the 2024 Wolf Prize in Mathematics.
