Title: CNN for factorization

First speaker: Jeungeun Park (from Suny New Paltz)

Title: Flagellar Wrapping in Swimming Bacteria

Abstract:
Flagellated bacteria swim in fluids by rotating flagella driven by molecular motors. Understanding how these cells reorient and navigate is essential for interpreting mechanisms relevant to environmental adaptation, symbiosis, and pathogenesis. Yet, the hydrodynamics of these microswimmers are complex, making quantitative insight challenging from experiments alone. In this talk, we introduce...

Title: Harmonic analysis and algorithms for fractal IFS L2 spaces via infinite products of projections.

Abstract: We present new results at the cross roads of spectral theory for operators in Hilbert space, optimization, large sparse systems, geometry of fractals from iterated function systems (IFS), and new results in fractal harmonic analysis. In detail, we present a new recursive iteration scheme involving as input a prescribed sequence of selfadjoint projections. Applications include random...

Title: Elementary equivalence and disintegration of tracial von Neumann algebras

Abstract: We prove an analog of the disintegration theorem for tracial von Neumann algebras in the setting of elementary equivalence rather than isomorphism, showing that elementary equivalence of two direct integrals implies fiberwise elementary equivalence under mild, and necessary, hypotheses. This verifies a conjecture of Farah and Ghasemi. Our argument uses a continuous analog of ultraproducts where an...

Title: Convergence towards heterogeneous patterns for a degenerate reaction-diffusion system

Abstract: In this talk, I will present recent results on the dynamics of a degenerate reaction-diffusion system with hysteresis, modeling the biological evolution of a forest ecosystem. Using a generalized Mountain Pass Theorem, valid for elliptic equations admitting a discontinuous right-hand side, and generalized Clarke gradients, I prove the existence of an infinite and continuous family of...

The Great Plains Operator Theory Symposium. From a modest beginning in 1981, the Great Plains Operator Theory Symposium (GPOTS) has become a major annual conference. It rotates between Universities in the U.S., with a new host university every year, and with NSF funding. For Spring 2026, it will be at the University of Iowa, a founding university. By now, GPOTS has evolved into a major international conference on operator theory and operator algebras. The symposium focuses on recent developments...