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This Week in Mathematics

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Current Week [Jan 19, 2020 - Jan 25, 2020]
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Entries for this week: 8
Wednesday January 22, 2020

Departmental Tea Time
C is for cookie, and shorthand for C[0,1] w/the sup norm
Time: 3: Room: 204 LOV

Geometry, Topology and Data
Fundamentals of Metric Geometry II - Gromov-Hausdorff Distance
    - Osman Berat Okutan, FSU
Time: 3:35 pm Room: 102 LOV
Abstract/Desc: This is the second talk of a series of talks about fundamentals of Metric Geometry. In this talk, we cover several characterizations of Gromov-Hausdorff distance, and show some of its basic properties.

Thursday January 23, 2020

Financial Mathematics Seminar [url]
On a class of globally solvable quadratic systems of backward stochastic differential equations
    - Gordan Zitkovic, University of Texas, Austin
Time: 3:35pm-4:25pm Room: LOV 201
Abstract/Desc: An overview of some recent results in theory and applications of backward stochastic differential equations (BSDE) will be given. Among them is an existence and uniqueness theorem for a wide class of Markovian systems of BSDEs with quadratic nonlinearities, an application to equilibria in incomplete annuity markets, and a new stability result for BSDEs in dimension 1. Based on Joint work with Hao Xing, joint work with Kim Weston and joint work with Joe Jackson.

Financial Mathematics Seminar [url]
    - Alec Kercheval, Florida State University
Time: 3:35pm-4:25pm Room: LOV 201
Abstract/Desc: TBA

Algebra and Its Applications
    - Paolo Allufi, Florida State University
Time: 3:35pm Room: LOV 104

Friday January 24, 2020

Colloquium Tea
Time: 3:00 pm Room: 204 LOV

Mathematics Colloquium [url]
From Individuals to Populations: How features and interactions of individuals shape population dynamics
    - Bhargav Karamched , University of Houston
Time: 3:35 Room: Lov101
More Information
Abstract/Desc: The dynamics of multi-agent systems at the population level often depend sensitively upon the features and interactions of the agents that make up the population. In this talk, we will look at two examples of such systems. The first example is motivated by experimental findings in the synthetic biology laboratory. In spatially extended microfluidic traps, E. coli cells align orthogonally to the long side of the trap. We develop a stochastic lattice model that describes such emergent behavior and suggests that population level alignment is driven by a tug-of-war between local cell-cell interactions and boundary effects. The second example is motivated by the relevance of social networking in today's world and addresses optimal decision making in social settings. We generalize well-known Bayesian models of binary decision making to include exchange of social information. In the limit of large system sizes, we are able to perform asymptotic calculations and show that even if a large fraction of a population urges everyone to make a suboptimal decision, individuals can use the information available to them to ensure that overall the population can choose an optimal decision.

Machine Learning Seminar [url]
Supervised and unsupervised learning
    - Martin Bauer , FSU
Time: 1:25pm Room: LOV 102

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