Workshop on Topology: Identifying order in complex systems

Date:
Apr
30
2021

Workshop on Topology: Identifying Order in Complex Systems

Twisted topological tangles or: the knot theory of knitting
Elisabetta Matsumoto
2:00pm|Remote Access

The Picard group of the stable module category of a finite group plays a role in many parts of modular representation theory. It was calculated when the group is an abelian $p$-group, by pioneering work of Dade in the 1970's, and a classification...

Apr
16
2021

Workshop on Topology: Identifying Order in Complex Systems

From geometry to topology: inverse theorems for distributed persistence
Paul Bendich
3:00pm|Remote Access

What is the "right" topological invariant of a large point cloud $X$? Prior research has focused on estimating the full persistence diagram of $X$, a quantity that is very expensive to compute, unstable to outliers, and far from a sufficient...

Apr
02
2021

Workshop on Topology: Identifying Order in Complex Systems

The missing link
Vidit Nanda
2:00pm|Remote Access

Links of strata in singular spaces are fundamental invariants which govern the topology of small neighbourhoods around points in those strata. This talk will focus on inferring links of strata from incomplete information in three completely...

Mar
19
2021

Workshop on Topology: Identifying Order in Complex Systems

Physics of functional networks
Henrik Ronellenfitsch
2:00pm|Remote Access

We are surrounded by functional networks, from fluid transport in plants and animals to macroscopic elastic scaffoldings and microscopic crystals and materials, and engineered power grids. Often, such networks can be seen as optimized for their...

Mar
05
2021

Workshop on Topology: Identifying Order in Complex Systems

Persistent matchmaking
Uli Bauer
2:00pm|Remote Access

In this talk, I will give an overview of some recent results motivated by the computation and applications of persistent homology, a theory that creates a bridge between the continuous world of topology and the discrete world of data, and assigns...

Dec
04
2020

Workshop on Topology: Identifying Order in Complex Systems

Raytracing and raymarching simulations of non-euclidean geometries
Henry Segerman
2:00pm|Remote Access Only

I'll talk about two related projects, with two different groups, both aiming to see three-dimensional manifolds "from the inside". That is, we generate images assuming that light travels along geodesics in the geometry of the manifold. The first...

Nov
20
2020

Workshop on Topology: Identifying Order in Complex Systems

Topological methods for characterizing the relationship between polymer entanglement and viscoelasticity
Eleni Panagiotou
2:00pm|Remote Access Only

Polymers are macromolecules that cannot cross each other without breaking their bonds. This leads to polymer chain entanglement which determines bulk viscoelastic responses of the material. Understanding the relation between entanglement and...

Nov
06
2020

Workshop on Topology: Identifying Order in Complex Systems

Algebraic and topological models for DNA recombination
Nataša Jonoska
2:00pm|Remote Access Only

DNA rearrangement is observed at developmental and evolutionary scale. The recombination process can be directly modeled by 4-regular graphs and Gauss codes, also called double occurrence words. We discuss properties of these graphs, their spatial...

Oct
23
2020

Workshop on Topology: Identifying Order in Complex Systems

How to describe, analyze and interrogate dynamics of gene regulatory networks
Tomas Gedeon
2:00pm|Remote Access - see Zoom link below

We first describe mathematical foundation of DSGRN (Dynamic Signatures Generated by Regulatory Networks), an approach that provides a queryable description of global dynamics of a network over its entire param- eter space. We describe a connection...

Oct
09
2020

Workshop on Topology: Identifying Order in Complex Systems

Parameters in indexed homology
Simon Cho
2:00pm|Remote Access - see Zoom link below

Motivated by thematic similarities between persistent homology and magnitude homology, we describe a simplicial construction associated to a metric space. This construction is determined by (apart from the metric space itself) a choice of two...