Algebraic Structures in Topology: Distinguished Lecture Series Lecture Series: May 2-3 2025, UPR-RP, Anfiteatro CN-142. Colloquium: May 5, 2025, 3:30- 4:30pm, UPR Mayagüez, Monzon 201 This event is part of the Algebraic structures in topology conference series sponsored by the National Science Foundation. Speaker Laurentiu Maxim (Professor, University of Wisconsin, Madison) Lecture Series Title: A guided introduction to intersection homology and applications Intersection homology was introduced by Goresky and MacPherson in order to recover some of the classical results and properties of manifolds (like Poincare duality, Lefschetz type theorems and Hodge theory for complex manifolds) in the context of singular…
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Great Plains Operator Theory Symposium 2025 (GPOTS 2025) Date: May 19-23, 2025 (Tentative) Location: San Juan, Puerto Rico Invited speakers An, Qingnan – Northeast Normal University Arendt, Wolfgang – University of Ulm Elliott, George – University of Toronto Higson, Nigel – Penn State University Jiang, Chunlan – Hebei Normal University Lin, Huaxin – University of Oregon Liu, Zhichao – Dalian University Liu, Zhengwei – Tsinghua University Lizama, Carlos – University of Santiago de Chile Musat, Magdalena – University of Copenhagen Niu, Zhuang – University of Wyoming Rørdam, Mikael – University of Copenhagen Tang, Xiang – Washington Univ. in St. Louis…
[pdf-embedder url=”https://math.uprrp.edu/wp-content/uploads/2025/03/march_talk_cardona.pdf”]
More or less a bounded curve is rectifiable iff it has length. There is a criterion to determine if a curve is rectifiable involving the Jones β number.What is it? What are some examples of the β numbers of the coastline? Does any of this help us understand or control coastline erosion? While we will not exactly answer these questions we will explain what all these terms mean. Hopefully we will encourage everyone to learn more geometric measure theory! This will be a purely expository talk. But the speaker is always willing to talk (offline) about his related research.
Professor Gong’s research interests include: C*-algebra Noncommutative geometry Classification of C*-algebras K-theory
We consider some simplest and most common finite semigroups that arise frequently in many areas of pure and applied mathematics, in particular, cyclic semigroups and bands. We then consider the question which of them have copies in the Stone-Cech compactification of the natural numbers. The latter itself is a compact right topological semigroup with a very complicated structure and important applications to Ramsey theory and to topological dynamics. The first application to Ramsey theory was the proof of Hindman’s theorem (1974): whenever the set of natural numbers is finitely colored, there is an infinite sequence all of whose sums are…