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Events for the weeks of March 26th – April 7th

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Tue, Apr. 4 1:25pm (MATH 2…	Algebra/Logic Wentao Yang (Carnegie Mellon University) View Online:https://cuboulder.zoom.us/j/96896272260 X We propose an analogue definition of No Independence Property (NIP) for abstract elementary classes (AECs) that coincides with NIP when the class is elementary. We construct a forking-like relation on AECs with NIP, and show that its negation leads to being able to encode subsets. An NIP-like notion in abstract elementary classes
Tue, Apr. 4 2:30pm (Math 3…	Lie Theory Aparna Upadhyay (University of Arizona) X The core of a finite dimensional kG-module M is obtained by deleting all the summands of M that are projective. Benson and Symonds defined an invariant for M, called the gamma invariant. This invariant is a result of studying the asymptotics of the core of tensor powers of M. In this talk, we will see some interesting properties of this invariant. We will explore the sequence of dimensions of the core of $M⊗ n$ , and see that it has algebraic Hilbert series when M is Omega-algebraic. When M is $Ω +$ -algebraic then these dimension sequences are eventually linearly recursive. This partially answers a conjecture by Benson and Symonds. The asymptotics of the decomposition of tensor powers of modules Sponsored by the Meyer Fund
Tue, Apr. 4 3:30pm (MATH 3…	Topology Emily Montelius (CU Boulder) Segal's Gamma-Spaces and the Barratt-Priddy-Quillen Theorem
Wed, Apr. 5 3:30pm (Math350)	Math Phys Rebecah Storms (CU Boulder) View Online:https://cuboulder.zoom.us/j/94002553301 Profinite dimensional manifolds
Thu, Apr. 6 9:05am (RAMY N…	Thesis Defenses Michael Wheeler (CU) View Online:https://cuboulder.zoom.us/j/96126023746 X We use the methods of model-theoretic nonstandard analysis, in particular enlargements, to study the properties of regular and good ultrafilters and their role within Keisler's order on countable complete first-order theories. This understanding is used to produce alternative proofs of several key theorems in the study of Keisler's order, such as the well-definedness of Keisler's order and the maximality of theories with SOP_2 (Strong Order Property 2). Furthermore, we provide an analysis of the logical structure of the types used in the proof that theories with SOP_2 are Keisler maximal and use this analysis to give an easy-to-state set-theoretic characterization of ultrafilters that are both regular and good. A Nonstandard Approach to Keisler's Order
Thu, Apr. 6 3:35pm (MATH 3…	Probability Hoi Nguyen (Ohio State University) X In this talk we discuss the number of real roots of a wide class of random orthogonal polynomials with gaussian coefficients. Using the method of Wiener Chaos we will show that the fluctuation in the bulk is asymptotically gaussian, even when the local correlations are different. We will also discuss partial progress toward the case of non-gaussian coefficients. Central Limit Theorem for the number of real roots of gaussian random polynomials
Thu, Apr. 6 4pm (MATH 220)	Init Conditions Colin Jackson Limits and colimits in set