Colloquia: Difference between revisions

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-<b>UW Madison mathematics Colloquium is ONLINE on Fridays at 4:00 pm. </b>
+<b>UW-Madison Mathematics Colloquium is on Fridays at 4:00 pm in Van Vleck B239 unless otherwise noted.</b>
-<!--- in Van Vleck B239, '''unless otherwise indicated'''. --->
+Contacts for the colloquium are Michael Kemeny (spring) and Dallas Albritton (fall).
-=Fall 2020=
+Everyone in the math department is subscribed to the mathcolloquium@g-groups.wisc.edu mailing list.
-== September 25, 2020, [https://www.math.tamu.edu/~jml/  Joseph Landsberg] (Texas A&M) ==
-(Hosted by Gurevitch)
+This semester's colloquia: [[Colloquia/Spring 2025|Spring 2025]]
+==Future Colloquia==
+==Past Colloquia ==
-'''From theoretic computer science to algebraic geometry: how the complexity of matrix multiplication led me to the Hilbert scheme of points.'''
+[[Colloquia/Fall 2024|Fall 2024]]
-In 1968 Strassen discovered the way we multiply nxn matrices
+[[Colloquia/Spring2024|Spring 2024]]
-(row/column)
-is not the most efficient algorithm possible. Subsequent work has led to
-the astounding conjecture that as the size n of the matrices grows, it
-becomes
-almost as easy to multiply matrices as it is to add them. I will give a
-history
-of this problem and explain why it is natural to study it using
-algebraic geometry
-and representation theory. I will conclude by discussing recent exciting
-developments
-that explain the second phrase in the title.
-== October 9, 2020, [https://impa.br/en_US/page-pessoas/carolina-araujo/ Carolina Araujo] (IMPA)  ==
+[[Colloquia/Fall 2023|Fall 2023]]
-(Hosted by Ellenberg)
+[[Colloquia/Spring2023|Spring 2023]]
-'''Symmetries in Algebraic Geometry and Cremona transformations'''
+[[Colloquia/Fall2022|Fall 2022]]
-In this talk I will discuss symmetries of complex algebraic varieties. When studying a projective variety $X$, one usually wants to understand its symmetries. Conversely, the structure of the group of automorphisms of $X$ encodes relevant geometric properties of $X$. After describing some examples of automorphism groups of projective varieties, I will discuss why the notion of automorphism is too rigid in the scope of birational geometry. We are then led to consider another class of symmetries of $X$, its birational self-maps. Birational self-maps of the projective space $\mathbb{P}^n$ are called Cremona transformations. Describing the structure of the group of Cremona transformations of the plane is a classical problem that goes back to the 19th century. In higher dimensions, not so much is known, and a natural problem is to construct interesting subgroups of the Cremona group. I will end by discussing a recent work with Alessio Corti and Alex Massarenti, where we investigate subgroups of the Cremona group consisting of symmetries preserving some special meromorphic volume forms.
+[[Spring 2022 Colloquiums|Spring 2022]]
-== October 23, 2020, [http://www.math.toronto.edu/quastel/ Jeremy Quastel] (University of Toronto) ==
+[[Colloquia/Fall2021|Fall 2021]]
-(Hosted by Gorin)
+[[Colloquia/Spring2021|Spring 2021]]
-'''Towards KPZ Universality'''
+[[Colloquia/Fall2020|Fall 2020]]
-The 1-d KPZ universality class contains random interface growth models
-as well as random polymer free energies and driven diffusive systems.
-The KPZ fixed point has now been determined, through the exact solution of a special model
-in the class, TASEP, and is expected to describe the asymptotic fluctuations for all models in the class.
-It is an integrable Markov process, with transition probabilities described by a system of integrable PDE’s.
-Very recently, new techniques have become available to prove
-the convergence of the KPZ equation itself, as well as some non-integrable extensions
-of TASEP, to the KPZ fixed point.  This talk will be a gentle introduction to these developments
-with no prior knowledge assumed.  The results are, variously, joint works with
-Daniel Remenik, Konstantin Matetski, and Sourav Sarkar.
-== November 6, 2020, [http://math.jhu.edu/~sakellar/ Yiannis Sakellaridis] (Johns Hopkins University)==
-(Hosted by Gurevitch)
-'''Harmonic analysis, intersection cohomology, and L-functions.'''
-The goal of this lecture will be to describe a link between geometric-topological objects (certain intersection complexes on singular loop spaces), and objects of arithmetic interest (L-functions). The link between the two is by a Fourier/spectral transform. I will begin by giving an overview of Iwasawa–Tate theory, which expresses the Riemann zeta function as the Mellin transform of a certain theta series, and will conclude by describing joint work with Jonathan Wang (MIT), which expresses other L-functions as spectral transforms of functions obtained from intersection complexes on singular arc spaces. No prior familiarity with notions such as L-functions or intersection cohomology will be assumed.
-== November 20, 2020, [https://web.ma.utexas.edu/users/ntran/ Ngoc Mai Tran] (University of Texas) ==
-(Hosted by Rodriguez)
-'''Does your problem have a tropical solution?'''
-Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra.
-The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this talk I'll demonstrate how these two ideas are used to solve a variety of problems in different domains the last 10 years, from deep neural networks, semigroups theory, auction theory and extreme value statistics.
-== December 4, 2020, [http://math.sfsu.edu/federico/ Federico Ardila] (San Francisco)  ==
-(Hosted by Ellenberg)
-'''Measuring polytopes through their algebraic structure'''
-Generalized permutahedra are a beautiful family of polytopes with a rich combinatorial structure, and strong connections to optimization and algebraic geometry. We prove they are the universal family of polyhedra with a certain Hopf-algebraic structure. This Hopf-algebraic structure is compatible with McMullen’s foundational work on the polytope algebra.
-Our construction provides a unifying framework to organize and study many combinatorial families; for example:
-. It uniformly answers open questions and recovers known results about graphs, posets, matroids, hypergraphs, simplicial complexes, and others.
-. It shows that permutahedra and associahedra “know" how to compute the multiplicative and compositional inverses of power series.
-. It explains the mysterious fact that many combinatorial invariants of matroids, posets, and graphs can also be thought of as measures on polytopes, satisfying the inclusion-exclusion relations.
-This is joint work with Marcelo Aguiar (2017) and Mario Sanchez (2020).
-== Past Colloquia ==
 [[Colloquia/Spring2020|Spring 2020]]

Colloquia: Difference between revisions

Latest revision as of 06:22, 17 December 2024

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