Previous Conferences & Workshops

Apr
18
2015

Workshop on Topology: Identifying Order in Complex Systems

Sensors, sampling, and scale selection: a homological approach
Don Sheehy
5:00pm|S-101

In their seminal work on homological sensor networks, de Silva and Ghrist showed the surprising fact that its possible to certify the coverage of a coordinate free sensor network even with very minimal knowledge of the space to be covered. We give a...

Apr
18
2015

Workshop on Topology: Identifying Order in Complex Systems

A topological approach for investigating the intrinsic structure of neural activity
Vladimir Itskov
3:30pm|S-101

Experimental neuroscience is achieving rapid progress in the ability to collect neural activity and connectivity data. Detecting meaningful structure in this data is challenging because the measured quantities are related to more "fundamental"...

Apr
18
2015

Workshop on Topology: Identifying Order in Complex Systems

A new potential theory for the Maxwell equations
Leslie Greengard
2:00pm|S-101

Existing formulations of Maxwell's equations encounter numerical difficulties in geometries with sub-wavelength features and/or non-trivial genus. We will describe a new system of boundary value problems for the electromagnetic vector and scalar...

Apr
18
2015

Workshop on Topology: Identifying Order in Complex Systems

Entanglement of embedded graphs
Toen Castle
11:30am|S-101

Even simple graphs can be embedded in space ($\mathbb E^3$ or $\mathbb S^3$) in a topologically complex way. If there is a cycle in the graph then there can be knots in the embedding, if there are disjoint cycles then there can be links. However...

Apr
18
2015

Workshop on Topology: Identifying Order in Complex Systems

Characterizing force-chain network architecture in granular materials
Danielle Bassett
10:00am|S-101

Force chains form heterogeneous physical structures that can constrain the mechanical stability and acoustic transmission of granular media. However, despite their relevance for predicting bulk properties of materials, there is no agreement on a...

Apr
17
2015

Joint IAS/Princeton University Symplectic Geometry Seminar

Unlinked fixed points of Hamiltonian diffeomorphisms and a dynamical construction of spectral invariants
1:30pm|S-101

Hamiltonian spectral invariants have had many interesting and important applications in symplectic geometry. Inspired by Le Calvez's theory of transverse foliations for dynamical systems of surfaces, we introduce a new dynamical invariant, denoted...

Apr
16
2015

Joint IAS/Princeton University Number Theory Seminar

The p-adic Gross-Zagier formula on Shimura curves
Daniel Disegni
4:30pm|Fine 214, Princeton University

I will talk about a general formula relating the p-adic heights of Heegner points to derivatives of p-adic L-functions. It generalizes results of Perrin-Riou and Howard to the setting of the work of Yuan-Zhang-Zhang on the complex Gross-Zagier...