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Events for the weeks of September 29th – October 11th

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Tue, Oct. 1 1:15pm (MATH 3…	Geometry/Analysis Ian Miller (University of Colorado Boulder) X We consider focusing nonlinear Schr\"odinger equations, which are mass supercritical and energy subcritical. For these equations, given initial data which has mass and energy below ground state initial data, a classification between blow up and global existence is known. However for initial data above the ground state, behavior is only known for special cases. In this talk we discuss the impact of angular momentum on long time behavior of solutions and introduce some new global and blow up solutions. New global and blowup solutions for nonlinear Schrodinger equations above the ground state
Tue, Oct. 1 2:30pm (MATH 3…	Lie Theory Richard Green (CU) X A root system for a simply laced finite Weyl group is a discrete collection of vectors in Euclidean space on which the group acts transitively. In some cases, the set of maximal sets of orthogonal positive roots has the structure of a graded partially ordered set, known as a quasiparabolic set. The talk will describe the rich combinatorial structure of these partially ordered sets. This is joint work with Tianyuan Xu (University of Richmond). Quasiparabolic sets and orthogonal bases of roots
Tue, Oct. 1 3:30pm (MATH 3…	Topology Sylvia Maher X An infinity category is a category equipped with some notion of homotopy, allowing us to transport parts of classical homotopy theory to a more abstract setting. In this talk I will introduce infinity categories through the language of simplicial sets and give an overview of some of the basic definitions and constructions that arise when studying infinity categories. An Introduction to Infinity Categories
Wed, Oct. 2 3:30pm (Math350)	Math Phys Howy Jordan (CU Boulder) X Algebraic Quantum Field Theories are formulated by giving axioms on a C*-algebra valued cosheaf on the open subsets of Minkowski space. This dependence on an a priori specified spacetime is the subject of debate. Here we begin investigations into one possibility for removing this dependence. The fundamental idea is to attempt to derive a spatial locale equivalent to the open sets on Minkowski space from families of observables. In this talk, we outline the basic structures and describe some initial steps towards realizing this program. Towards Spatiality of the Spacetime Locale
Wed, Oct. 2 4:45pm (MATH 3…	Grad Student Seminar Mateo Muro (CU Boulder) X Pending Mal'cev Algebras are the only Algebras
Thu, Oct. 3 11:15am (MATH …	Algebraic Geometry Jon Kim X We will showcase the classification of algebraic surfaces by Kodaira dimension followed by an introduction to the minimal model program using surfaces as a guiding example. Classification of Algebraic Surfaces and the Minimal Model Program
Thu, Oct. 3 2pm (Online)	Rep Theory Gaywalee Yamskulna (llinois State University) View Online:https://cuboulder.zoom.us/j/97927772782 X In this talk, I will explore the algebraic properties of an $ℕ$ -graded vertex algebra associated with Gorenstein rings. Through this framework, I will demonstrate how these vertex algebras offer a natural bridge to the shifted theory of vertex algebras of the CFT type. On the algebraic structure of $N$-Graded Vertex Algebras $V=\oplus_{n=0}^{\infty}V_n$ when $V_0$ is a Gorenstein ring and Their Relation to vertex algebras of CFT-Type.
Thu, Oct. 3 2:30pm (MATH 3…	Functional Analysis Darwin Tallana (CU Boulder) Unbounded operators and the Dirac operator on the circle
Fri, Oct. 4 2:30pm (MATH 2…	Grad Algebra/Logic Charlotte Aten X Commutator Theory was generalized from groups to general algebras in the 1980s and quickly became one of the main tools for structure theory of algebras. This Fall we'll work through the book Commutator Theory by Freese and McKenzie. This talk is an introduction to the basic objects of general algebra. Algebras, lattices, varieties
Mon, Oct. 7 4:45pm (MATH 3…	Grad Student Seminar Colin Jackson (CU Boulder) X In this talk, we will see how far we can take the question in the title. We will start with some simpler results, and move on to the prime number theorem, discussing error terms and conjectures, and continue this to primes in arithmetic progression. To finish, we will immerse ourselves in everyone’s favorite sporting event, prime number races. How many prime numbers are there really?
Tue, Oct. 8 12pm (online)	Algebra/Logic Sebastian Meyer (TU Dresden, Germany) View Online:https://cuboulder.zoom.us/j/96896272260 X We want to study the class of all finite structures together with the preorder given by primitive positive constructions as it plays an important role in the theory of constraint satisfaction problems. It is also equivalent to the homomorphism poset of the polymorphism minion of the structure, which is the right generalization of endomorphism monoid/ring in this context. It turns out that the first two layers of this order consist of a single equivalence class each, while the third layer consists of infinitely many points, represented by the transitive tournament on three vertices and structures in one-to-one correspondence with all finite simple groups. Finite simple groups in the primitive positive constructability poset
Tue, Oct. 8 2:30pm (Math 3…	Lie Theory John McHugh (University of Denver) X The "extended tensor product" is a relatively new operation in the representation theory of finite groups which generalizes both the familiar tensor product of representations over the ground field as well as the tensor product of bimodules. It was introduced in 2008 by Serge Bouc and studied extensively by Robert Boltje and Philipp Perepelitsky in the early part of this decade. I will attempt to motivate and explain the definition of the extended tensor product. If I am successful I will go on to discuss new results in the theory of modular representations of finite groups that are proved using the extended tensor product construction. The material will be presented in the most elementary ways possible: a potential audience member should only know what a finite group is and what an action of a finite group on a finite set looks like. The Extended Tensor Product Sponsored by the Meyer Fund
Tue, Oct. 8 3:30pm (MATH 3…	Topology Courtney Hauf History of Algebraic K-theory
Wed, Oct. 9 3:30pm (Math350)	Math Phys Rebecah Deans (CU Boulder) Introduction to Spencer Cohomology
Thu, Oct. 10 11:15am (MATH …	Algebraic Geometry Jon Kim X We will continue the talk from last week starting by classifying algebraic surfaces via Kodaira dimension. Classification of Algebraic Surfaces and the Minimal Model Program II
Thu, Oct. 10 2pm (Online)	Rep Theory Harshit Yadav (University of Alberta) View Online:https://cuboulder.zoom.us/j/97927772782 Rigidity of vertex tensor categories.
Thu, Oct. 10 2:30pm (MATH 3…	Functional Analysis Levi Lorenzo (CU Boulder) K-theory for C*-algebras
Fri, Oct. 11 2:30pm (MATH 2…	Grad Algebra/Logic Mateo Muro X We introduce commutators for general algebras. Commutators

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