## Upcoming Events

## September 2018

## Michael Weselcouch, NC State, P-partition Generating Functions of Naturally Labeled Posets

The P-partition generating function of a (naturally labeled) poset P is a quasisymmetric function enumerating order-preserving maps from P to Z^+. Using the Hopf algebra of posets, we give necessary conditions for two posets to have the same generating function.…

Find out more## October 2018

## Ben Freedman, NC State, Nonlinear differential equations subject to generalized boundary conditions

In this talk, we analyze nonlinear differential equations subject to generalized boundary conditions. More specifically, I will provide a framework from which we can provide conditions, which are straightforward to check, for the solvability of a large number of nonlinear scalar boundary value…

Find out more## November 2018

## Suzanne Crifo, NC State, Some Maximal Dominant Weights and their Multiplicities for Affine Lie Algebra Representations

Affine Lie algebras are infinite dimensional analogs of finite dimensional simple Lie algebras. It is known there are finitely many maximal dominant weights for any integrable highest weight representation of an affine Lie algebra. However, determining these maximal dominant weights…

Find out more## January 2019

## Zev Woodstock, NC State, The Gospel of Proximal Calculus: Optimization for non-differentiable problems

This discussion includes an eclectic mix of convex analysis, subdifferential calculus, and nonlinear analysis. We will introduce modern theoretical tools and algorithms used to solve non-differentiable optimization problems across the sciences. This discussion will focus more on the theory, proofs,…

Find out more## February 2019

## Dustin Leininger, NC State, Crash Course on Spectral Sequences

Spectral sequences are an algebraic tool for computing (co)homology of differential graded algebras (DGAs) developed by by Leray in the 1940's and have since found applications in various fields which utilize DGAs to compute useful invariants (e.g. Algebraic Topology, Knot…

Find out more## Owen Coss, NC State, Resolving Singularities by the Blowup Process in R^2

In this talk I will introduce the ideas of singularities of a polynomial and resolution of those singularities, and then develop the blowup process algorithm. For a polynomial f, a point is singular if f and all its first partials…

Find out more## Georgy Scholten, NC State, Hyperplane Arrangements

The study of hyperplane arrangements begins at fundamental questions such as: how many pieces can one cut a cake into with n slices? Quickly, hyperplane arrangements generate many intricately interesting mathematical structures and connections to many seemingly unrelated topics appear.…

Find out more## March 2019

## Benjamin Hollering, NC State, The Monomial Model and Limits of Trees

In this talk I'll introduce a new random tree model that associates a family of probability distributions on binary trees to each binary tree shape. We'll then use this new model, convex geometry, and the combinatorics of multisets and trees…

Find out more## September 2019

## Pratik Misra, NC State, Bounds on the expected size of the maximum agreement subtree

Rooted binary trees are used in evolutionary biology to represent the evolution of a set of species where the leaves denote the existing species and the internal nodes denote the unknown ancestors. Maximum agreement subtree is used as a measure…

Find out more## Christian Smith, NC State, The Algebra of “up-operators” for Young’s Lattice and Bruhat Order on S_n

Let be a free associative algebra over generated by for in some indexing set and let be a poset. For and we define an action of on (the complex vector space with basis ) in a way such that either annihilates or sends it to where covers and we extend multiplicatively and linearly. Let be the…

Find out more## October 2019

## Ella Pavlechko, Visualizing Curves in the Projective Plane

The Italian Renaissance painters began to incorporate perspective into their drawings in the 1400’s, but our eyes naturally understand depth from the 2-dimensional image on the back of our eyeball. It’s this projection on the retina that allows mathematicians to represent field of view…

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