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Events happening on November 6, 2018

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Nov. 06, 2018 11am (MATH 350)	Number Theory Christelle Vincent (University of Vermont) X The shape of a number field is an invariant which refines the discriminant. In this talk we present Piper H's PhD thesis on the equidistribution of shapes of S_3-, S_4-, and S_5-number fields when they are ordered by discriminant. We then discuss joint work that is in progress on the joint distribution of the shapes of a field and its resolvent. This talk will be accessible to anyone who knows some Galois theory as well as the definition of a number field and its ring of integers. On the equidistribution of the shape of certain number fields
Nov. 06, 2018 1pm (MATH 220)	Grad Algebra/Logic Election Day! Vote!
Nov. 06, 2018 2pm (MATH 220)	Election Day! Vote!
Nov. 06, 2018 2pm (MATH 350)	Lie Theory Henry Kvinge (CSU) X First formally defined by Borodin and Olshanski, a coherent system on a graded graph is a sequence of probability measures which respect the action of certain down/up transition functions between graded components. In one common example of such a construction, each measure is the Plancherel measure for the symmetric group and the down transition function is induced from the restriction functor. In this talk we will show how to generalize the above framework to the case of any free Frobenius tower where we no longer assume that our algebras are semisimple. In particular, we describe two coherent systems on graded graphs defined via representation theory of a tower of algebras and connect one of these systems to a family of central elements of the tower. When the algebras are not semisimple, the resulting coherent systems reflect the duality between simple modules and indecomposable projective modules. Coherent systems of probability measures on graphs for representations of free Frobenius towers Sponsored by the Meyer Fund
Nov. 06, 2018 3pm (MATH 350)	Algebraic Geometry Jeff Achter (CSU) X Several natural complex configuration spaces admit surprising uniformizations as arithmetic ball quotients. I'll use recent advances in the theory of K3 surfaces to construct arithmetic period maps which explain these uniformizations. Arithmetic moduli for lattice-polarized K3 surfaces, or, Three views of six points Sponsored by the Meyer Fund
Nov. 06, 2018 4pm (MATH 350)	Topology Alex Mundey Dirac operators

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