Numerical Algebraic Geometry & Correlated Electrons: Grassmannian, Response Function & Excited State
Recorded 22 September 2026. "Numerical Algebraic Geometry and Correlated Electrons: Generalized Grassmannians, Response Functions and Excited States" is the Spring 2027 long program at the Institute for Pure and Applied Mathematics at UCLA. In this webinar, Christian Ratsch, the Deputy Director of IPAM, introduces IPAM's mission and organization, then welcomes the organizers of the Spring 2027 program. At 04:55, Fabian Faulstich of Rensselaer Polytechnic Institute explains the areas of research for the long program visiting scholars. At 13:10, Guido Falk von Rudorff of the University of Kassel goes into detail about the themes of the four week-long workshops. Christian Ratsch then explains the resources provided to participants and how to apply for an individual workshop or the entire long program.Register for the Spring 2027 program at IPAM online at: https://www.ipam.ucla.edu/programs/long-programs/numerical-algebraic-geometry-and-correlated-electrons-generalized-grassmannians-response-functions-and-excited-states/?tab=application
Overview: This long program aims to forge new connections between applied algebraic geometry and electronic structure theory. Bringing together computational chemists focusing on strongly correlated electronic effects, computer scientists specializing in machine learning, and numerical algebraists, we seek to foster interdisciplinary collaboration and innovation to develop new numerical approaches to the fermionic quantum many-body problem.
The fermionic quantum many-body problem is one of the most formidable high-dimensional challenges in science. It is relevant for a wide range of applications, including emission reduction, green chemistry, and the development of materials for renewable energy and energy storage. Computational predictions for such applications require highly accurate results to avoid false-positive predictions that would fail experimentally. Methods that can accommodate these high-accuracy needs incur high computational costs and unfavorable scaling with the system size. A better understanding of the underlying algebraic structures, combined with fresh numerical approaches, opens the way to new computational methods with the potential to address both limitations.
We aim to introduce novel, unexplored lines of research for efficient computation of physical properties and response functions for ground and excited states. We will investigate fundamental and unexplored algebraic-geometric structures inherent in the fermionic quantum many-body problem and the majority of correlated computational methods. Besides increasing numerical efficiency for strongly correlated methods, said algebraic structure may also be exploited by machine learning approaches.
Register for the Spring 2027 program at IPAM online at: https://www.ipam.ucla.edu/programs/long-programs/numerical-algebraic-geometry-and-correlated-electrons-generalized-grassmannians-response-functions-and-excited-states/?tab=application Receive SMS online on sms24.me
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