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Monday February 17, 2025

Analysis and PDE Seminar
Modeling Immune Protein Dynamics and their Impact on Host-Pathogen Interactions in Septic Patients
    - Francis Baffour-Awuah Junior, FSU
Time: 3.05pm Room: LOV 232
Abstract/Desc: Sepsis is a syndrome caused by a dysregulated immune response to infection. Despite the progress made in improving its diagnosis and treatment, the syndrome continues to be potentially lethal, with one of the highest mortality rates, particularly in low-income countries. Mathematical models can be used to investigate the interplay among the components of the immune system and their effect on host-pathogen interactions, which contribute to the variability in sepsis pathophysiology. Here, we construct a model that relates immune protein expression in septic patients to the major components of the immune system, such as pro-inflammatory and anti-inflammatory responses, and a pathogen. Model parameters are inferred using proteomic data obtained from septic patients. By fitting the model to the patient data, key parameters that describe the syndrome’s dynamics are estimated. The model generates a range of clinically relevant outcomes that depict some of the disordered immune responses that may be seen in patients suspected of being septic. We also examine how changes in key parameter values influence these outcomes. The model can enhance our understanding of the dysregulated immune response characteristic of sepsis and help refine treatment approaches for different patient subgroups.

Tuesday February 18, 2025

Geometry and Topology Seminar [url]
Non-positive curved subcomplexes of spherical Deligne complexes
    - Jingyin Huang, Ohio State University
Time: 3:05 Room: 232
More Information
Abstract/Desc: The spherical Deligne complex is a simplicial complex introduced in Deligne's work when he studied the K(pi,1) problem for some complex hyperplane arrangement complements. The complex is homotopic to a wedge of spheres, and bear some similarities with spherical buildings, though it is not a building. While the topology of this complex prevent a CAT(0) metric on it, we show that it contains large pieces supporting equivariant non-positive curvature metric. As an application, we deduce new results on the K(pi,1) conjecture for several classes of Artin groups.

ACM seminar
Optimal quantum control of multi-qubit operations via time-parallel multiple-shooting
    - Guenther, Stefanie , LLNL
Time: 3:05 pm Room: 0231
Abstract/Desc: Advances in the design of quantum technologies has led to rapidly increasing numbers of qubits in current quantum computing hardware. However, accurately controlling these large quantum systems remains a fundamental challenge in the current Noisy Intermediate-Scale Quantum (NISQ) era. Analog control pulses provide the fundamental interface between the quantum compiler and the quantum hardware, and significant progress has been made in the development of numerical methods and computational tools to optimally design pulses that realize quantum operations with high fidelity. However, the computational costs associated with the simulation of the underlying quantum dynamical model increase quickly for many-qubit system, necessitating the use of large-scale High-Performance Computing (HPC) platforms to harness greater computational concurrency. This presentation introduces a multiple-shooting approach for quantum optimal control that enables concurrency along the time domain. This approach partitions the time domain into multiple windows, with the intermediate states at window boundaries treated as additional optimization variables. Continuity of state is enforced through equality constraints. This structure facilitates parallel-in-time computation of state evolution across different time windows, leading to substantial acceleration in the evaluation of the objective function and its adjoint-based gradient.

Wednesday February 19, 2025

Biomathematics Journal Club
The Primacy Model and the Structure of Olfactory Space
    - David Wharton, FSU
Time: 5:00 Room: Dirac Library

Thursday February 20, 2025

Financial Mathematics Seminar
Time: 3:05 Room: LOV 0231

Algebra seminar [url]
In Search of Supersingular Curves
    - Jeremy Booher, University of Florida
Time: 3:05PM Room: 232
Abstract/Desc: In positive characteristic, curves can be classified according to the p-adic Newton polygon of the numerator of their zeta function. The rarest possible behavior is for the curve to be supersingular, in which case the Newton polygon is a straight line. I will discuss some constructions of supersingular curves for particular genera and characteristics, and why some examples represent unlikely intersections in the moduli space of principally polarized Abelian varieties. This is joint work with Rachel Pries.

Friday February 21, 2025

Data Science and Machine Learning Seminar
Frames in vector spaces
    - Sam Ballas, FSU
Time: 1:20 Room: Lov 106
Abstract/Desc: A frame is a generalization of a basis for a vector space. They were originally defined in the infinite dimensional setting, but in recent years have seen significant applications in signal processing. In this talk I will give an overview of what frames are, discuss their applications in signal processing, and introduce some classes of frames that have desirable robustness properties in the presence of certain types of noise. This talk should be accessible to anyone with a basic background in linear algebra.

Mathematics Colloquium [url]
On the long time behavior of two-dimensional fluids
    - Theodore Drivas, Stony Brook University
Time: 3:05 Room: Lov 101
Abstract/Desc: Two dimensional fluids display an interesting and mysterious tendency towards order in the form of organization of coherent structures. We will survey some recent results which shed light on this process through the study of equilibria, their stability and structure, and the fate of nearby perturbations.


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