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Events for the weeks of September 6th – 18th

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Thu, Sep. 17 5pm (MATH 350)	Algebraic Geometry Jon Kim (University of Colorado Boulder) X The moduli space of cubic surfaces with a marked line lies naturally between the moduli space of fully marked and unmarked cubic surfaces and comes equipped with a W(D_5)-action corresponding to the stabilizer of the marked line. Hodge theoretic compactifications of these moduli spaces have been extensively studied by many, including Allcock—Carlson—Toledo, Dolgachev—van Geemen—Kondo, and Casalaina-Martin—Grushevsky—Hulek. In previous work, by using KSBA wall crossing, we described many different birational models of this moduli space via KSBA stable pairs. In this talk, we will discuss recent results regarding the W(D_5)-invariant birational geometry of these KSBA moduli spaces and ongoing work on the log minimal model program for these KSBA moduli spaces with respect to their log canonical divisor. The log MMP for the moduli space of cubic surfaces with a marked line
Tue, Sep. 8 11am (MATH 350)	Number Theory Taku Ishii (Seikei University) X Explicit formulas for spherical Whittaker functions on GL(n,R) were obtained by Stade around 1990. As an application, Stade computed archimedean zeta integrals for automorphic L-functions on GL(n)×GL(n) and GL(n)×GL(n-1). In this talk, I will discuss joint work with Stade on extending these results to classical groups. Archimedean Whittaker functions and archimedean zeta integrals Sponsored by the Meyer Fund
Tue, Sep. 8 5pm (MATH 350)	Math Club Rebekah Jones X Come to our first meeting on Tuesday, Sept 8th, 5-6pm to learn about what we do at Math Club and what we have planned for the semester. We’ll also have some fun math games/activities and, as always, free pizza! If you RSVP at the link below, you can vote on your pizza preferences. RSVP link: https://forms.gle/HFgNJZg8RhNfVWJg6 Welcome Day
Wed, Sep. 9 3:30pm (Math350)	Math Phys Andrew Doumont (CU Boulder) X Many techniques for studying symplectic manifolds (e.g. Gromov-Witten invariants) rely on the ability to count certain pseudoholomorphic curves. In order to do this counting one must have some notion of fundamental class on the moduli space of pseudoholomorphic curves. However, such moduli spaces are generally very poorly behaved. In this talk, we will discuss Kuranishi spaces which are a geometric structure one can equip these moduli spaces with in order to define a virtual fundamental class. Kuranishi Space
Fri, Sep. 11 10:10am (Math …	Math Edu Rebekah Jones X Join us to discuss potential topics and speakers for the Seminar on Undergraduate Math Education (SUME) this semester. We encourage all those interested in attending SUME this semester to attend! SUME Open House
Fri, Sep. 11 1:25pm (Zoom (…	A. I. Ken Ono (Axiom Math) X Mathematics is entering a period of both promise and unease. AI systems now discover counterexamples and conjectures, produce research-level arguments, and generate formally verified proofs in systems like Lean. This talk offers a working map of the landscape, organized around three distinct modes: discovery, reasoning, and verification, and why confusing them is the fastest way to overclaim. After surveying recent landmarks, I will present case studies from my own work at Axiom Math. I will discuss what is real, what is hype, and how rigor survives. The speaker is on Zoom. We suggest you attend on zoom (better experience for the speaker). Math 350 will be available for those who wish to share in-person viewing. Mathematics in the Age of AI: Discovery, Verification, and the Future of Proof
Tue, Sep. 15 11pm (350)	Number Theory Jamie Juul (Colorado State University) TBA
Fri, Sep. 18 1:25pm (Math 3…	A. I. Gregory Berkolaiko (Texas A&M) TBA

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