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Events for the weeks of October 19th – 31st

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Thu, Oct. 30 5pm (CSU)	Algebraic Geometry Multiple speakers X 3rd installment of Front Range Algebraic Geometry (FRAG) day happening at CSU in Weber 201 1:00-5:00 https://sites.google.com/colorado.edu/front-range-ag/home FRAG Day
Tue, Oct. 21 2:30pm (MATH 3…	Lie Theory Andrew Reimer-Berg (Colorado State University) X We resolve a question of Gillespie, Griffin, and Levinson that asks for a combinatorial bijection between two classes of trivalent trees, tournament trees and slide trees, that both naturally arise in the intersection theory of the moduli space of stable genus zero curves with n marked points. In this talk, we give an explicit combinatorial bijection between these two sets of trees using an insertion algorithm, and also classify the words that appear on the slide trees of caterpillar shape via pattern avoidance conditions. Insertion algorithms and pattern avoidance on trees coming from the moduli space of curves
Tue, Oct. 21 2:30pm (MATH 2…	Grad Algebra/Logic Nick Jamesson (CU) Categorical Perspective on Constraint Satisfaction (Part 5)
Tue, Oct. 21 3:30pm (MATH 3…	Topology Alex LaJeunesse X Machinery from homotopy theory allows us to define a Brauer space for any E_3-ring R whose homotopy groups carry important arithmetic information about R. If R is equivalent to a discrete commutative ring, for example, these homotopy groups agree with the classical (derived) unit, Picard, and Brauer groups. I will describe how one constructs this Brauer space and discuss the problem of "strictification" for Brauer classes. Unit, Picard, and Brauer Groups of Ring Spectra
Wed, Oct. 22 4:40pm (MATH 3…	Grad Student Seminar Edouard Heitzmann (CU Boulder) X I will state Arrow's Impossibility Theorem, then give the definitions of some commonly used ranked-choice voting rules, and finally present some examples of common paradoxes that each of them suffer from. Some Common Voting Rule Paradoxes
Thu, Oct. 23 11:15am (MATH …	Algebraic Geometry Yota Maeda (TU Darmstadt) X See https://sites.google.com/view/fragmentseminar/ On the Kodaira dimension of even-dimensional ball quotients Sponsored by the Meyer Fund
Fri, Oct. 24 12:20pm (MATH …	Math Edu Constantin Dorin Dumitrascu (Adrian College) X What should preservice teachers learn in a college geometry course, and how should they learn it? To change the lack of national consensus on how to answer these two questions, an online community of faculty who teach or do research on college geometry courses taken by secondary teachers (GeT courses) was formed in the Summer of 2018, under the coordination of Pat Herbst and Amanda Brown from the University of Michigan GRIP lab (https://www.gripumich.org/). A group of GeT instructors worked for over two years toward the goal of identifying a list of essential student learning outcomes (SLOs) for inclusion in GeT courses – where essential means the identification of content knowledge that all prospective secondary geometry teachers should have the opportunity to learn. The public draft of the set of Student Learning Outcomes is available at https://getapencil.org/student-learning-objectives/. My presentation will discuss some of the SLOs, how I incorporated them in my own teaching of the GeT course at Adrian College, and how my participation in the GeT: A Pencil community influenced and enriched my teaching. A Student Learning Outcomes Perspective on the College Geometry Course for Secondary Teachers
Tue, Oct. 28 1:25pm (MATH 2…	Algebra/Logic Zak Mesyan (CU Colorado Springs) X Given a semigroup S and elements s,t in S, write s~t if s=pr and t=rp, for some p,r in S (with 1 adjoined). This relation, and its transitive closure, both known as "primary conjugacy", has been extensively used and studied in connection with many algebraic objects, including groups, rings, and C*-algebras. It is the standard tool for either measuring or forcing commutativity. We discuss a natural generalization, defined by s~t whenever s=p_{1}...p_{n} and t=p_{f(1)}...p_{f(n)}, for some p_{1},...,p_{n} in S (with 1 adjoined) and permutation f of {1,...,n}, together with its transitive closure, which we call the "permutation" relation. The permutation relation is actually the congruence generated by the primary conjugacy, and is the least commutative congruence on any semigroup. We explore general properties of the permutation relation, discuss it in the context of groups and rings, compare it to various known semigroup conjugacy relations, and describe its equivalence classes in different semigroups. Conjugacy and least commutative congruences in semigroups Sponsored by the Meyer Fund
Thu, Oct. 30 10am (Math 350)	Number Theory Wissam Ghantous (University of Central Florida) TBD
Thu, Oct. 30 1:20pm (MATH 3…	Number Theory Gabrielle Scullard (University of Georgia) TBD
Thu, Oct. 30 2:30pm (MATH 3…	Functional Analysis Maggie Reardon (CU Boulder) X Matui’s HK-conjecture proposes a connection between the homology of a nice enough étale groupoid and the -theory of the associated reduced -algebra. The HK-conjecture is not true in general and there are a number of counterexamples. The related AH-conjecture predicts an exact sequence involving the zeroth and first homology groups together with the abelianization of the topological full group. Unlike the HK-conjecture, no counterexamples are known for the AH-conjecture, though it remains unproven. Both conjectures are verified for a number of natural classes of groupoids, including AF groupoids. Putnam introduced a new class of groupoids in the paper titled “Some classifiable groupoid -algebras with prescribed -theory”. These new groupoids are related to AF groupoids and this prompts a natural question: does this new class of groupoids satisfy the HK- and AH-conjectures? The HK- and AH-conjectures for certain groupoids constructed by Putnam

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