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November 12
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Speaker
Title
Abstract
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Boyu Li, NMSU
Hilbert's Hotel, Shift Operators, and Semigroup Representations
Hilbert’s Hotel has infinitely many rooms and is already full. Yet, with a clever strategy, the manager can still make space for new guests — even infinitely many of them. This classic paradox, introduced by David Hilbert in 1925, highlights a surprising aspect of infinity. In this talk, we will step into the manager’s shoes and explore different ways to accommodate these demanding guests and see how these ideas connect to shift operators and representations of semigroups.
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October 16
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Speaker
Title
Abstract
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Selvi Kara, Bryn Mawr College
Meet a Mathematician, Edge Ideals and Beyond
I will begin this talk by introducing my passion project, MΣΣT a Mathematician, a collection of video interviews that highlight the experiences of mathematicians, particularly from diverse and historically excluded backgrounds in the mathematical sciences. I will then transition to an overview of my research, which focuses on monomial ideals arising from combinatorial and visual objects, such as graphs (e.g., edge and cover ideals). I will discuss how monomial ideals can be studied through minimal free resolutions, which encode important invariants. By examining the interplay between algebra and combinatorics, I will show how graph data can be used to express algebraic information, sharing results that illustrate these connections and discussing open questions that continue to drive my work.
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