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DTSTART;TZID=America/New_York:20260424T120000
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SUMMARY:The Intermingling of Symmetry and Parametrization in Matrix Product States
DESCRIPTION:Member Seminar \nSpeaker: Daniel Spiegel \nTitle: The Intermingling of Symmetry and Parametrization in Matrix Product States \nAbstract: In the study of quantum spin systems\, it is by now well-known that interesting phases of quantum matter can arise from gapped ground states when the system is invariant under a symmetry group G or when the system varies continuously with a parameter in a topological space X. In these cases\, phases are characterized by indices taking values in group cohomology of G or the cohomology of X\, respectively. The situation where one has both a symmetry and a parametrization is much less studied but can lead to interesting phases even when both the aforementioned indices are trivial. In this talk\, I will discuss work in progress on a simple construction for general index for symmetry protected parametrized systems of matrix product states and will show some illustrative examples.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-42426/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
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DTSTART;TZID=America/New_York:20260424T140000
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SUMMARY:Compression Is All You Need: Modeling Mathematics
DESCRIPTION:Freedman Seminar \nSpeaker: Mike Freedman\, Harvard CMSA \nTitle: Compression Is All You Need: Modeling Mathematics \nAbstract: The talk will exposit a recent eponymous arXiv posting with coauthors Vitaly Aksenov\, Eve Bodnia\, and Mike Mulligan. The approach is to think like a physicist and model a seemingly complex bit of reality: mathematics\, by a simple toy model where exact computations can be carried out and then compared with observation.  The models are finitely generated monoids and the data is derived from MathLib a large Lean-based repository. The hierarchical nature of definitions and lemmas in math is modeled by adding redundant generators to the monoids – think of the powers of 10 within the natural numbers which support place notation. Place notation confers an exponential compression of how we describe numbers; exploration of MathLib shows that this theme persists to (human) mathematics writ large. We hope that the observables we describe will help our agents navigate to interesting mathematical destinations. \n 
URL:https://cmsa.fas.harvard.edu/event/freedman_42426/
LOCATION:Virtual
CATEGORIES:Freedman Seminar
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