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Algebraic Geometry
Moduli Space

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Explore the advanced mathematical concepts of moduli spaces, encompassing intersection theory and deformations. Deepen your understanding through lectures and tutorials available on YouTube, presented by leading universities and research institutions. This subject is ideal for learners with a strong mathematical background seeking to explore specialized topics in algebraic geometry.

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M-Seminar, Kansas State University
P=W via H2 - Moduli Space of Stable Twisted Higgs Bundles

Explore the cohomology of stable twisted Higgs bundles moduli space through $H_2$ Lie algebra action, unifying weight and perverse filtrations via tautological classes and Hecke operators.
- YouTube
- 1 hour 29 minutes
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Institute for Advanced Study
Probing Moduli Space Cohomology Using Quantum Field Theory

Delve into advanced quantum field theory applications for analyzing moduli space cohomology, exploring mathematical connections between combinatorics and fundamental physics principles.
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Institute for Advanced Study
The Moduli Space of Matroids - Lecture 1

Delve into advanced mathematical concepts exploring matroid theory, F1-geometry, and tropical schemes, focusing on Baker-Bowler's theory and its applications to Grassmannians and representation theory.
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International Centre for Theoretical Sciences
Estimating the Distances Between Hyperbolic Structures in the Moduli Space

Delve into the mathematical exploration of distance estimation between hyperbolic structures in moduli space, part of the "New trends in Teichmüller theory" program.
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Harvard CMSA
Dualities and the Compactifiability of Moduli Space

Explore string theory dualities and moduli space compactifiability, connecting finite volume conditions to duality existence and semisimple representations in theoretical physics.
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Stony Brook Mathematics
Billiards, Dynamics, and the Moduli Space of Riemann surfaces

Explore GL(2,R) dynamics on Hodge bundles to understand Riemann surface moduli spaces and solve polygon billiard problems through orbit closure classification.
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International Centre for Theoretical Sciences
The Different Faces of Higgs Bundles - A Universal Moduli Space - Lecture 2

Explore the universal moduli space of Higgs bundles and its hyperkähler metric structure, connecting differential geometry with character varieties of fundamental groups.
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Centre International de Rencontres Mathématiques
Volumes of Odd Strata of Quadratic Differentials

Explore volumes of odd strata of quadratic differentials in moduli spaces. Delve into combinatorics, dynamics, and geometry with insights from Elise Goujard's mathematical research.
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IMSA
Twistor Space for Moduli of Local Systems on Open Curves

Explore Deligne-Hitchin twistor spaces for moduli of framed local systems on open curves, examining harmonic bundles, preferred sections, and mixed twistor structures in moduli space geometry.
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M-Seminar, Kansas State University
The KSBA Moduli Space of Stable Log Calabi-Yau Surfaces

Explore the KSBA moduli space of stable log Calabi-Yau surfaces, delving into its properties, connections to toric varieties, and recent developments in algebraic geometry and mirror symmetry.
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Constraints on Kahler Moduli Space of 6D N=1 Supergravity

Explore constraints on Kahler moduli space in 6D N=1 supergravity, delving into advanced theoretical physics concepts and their implications.
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Centre International de Rencontres Mathématiques
The KSBA Moduli Space of Stable Log Calabi-Yau Surfaces

Delve into advanced algebraic geometry exploring KSBA moduli spaces of stable log Calabi-Yau surfaces, examining conjectures by Hacking-Keel-Yu and their proof for log Calabi-Yau surfaces.
- YouTube
- 55 minutes
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Hausdorff Center for Mathematics
Teichmüller Space and the Segal Moduli Space - Talk 1, Part 1

Explore the fundamental connection between Teichmüller space and Segal moduli space through Riemann surface deformations and complex structure theory.
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- 52 minutes
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Hausdorff Center for Mathematics
Teichmüller Space and the Segal Moduli Space - Talk 1, Part 2

Explore the connection between Teichmüller space and Segal moduli space, focusing on Riemann surface deformations and their complex structure equivalences.
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Hausdorff Center for Mathematics
Teichmüller Space and the Segal Moduli Space - Talk 2, Part 2

Explore the deep connection between Teichmüller space and Segal moduli space, revealing how these seemingly different mathematical structures are nearly identical up to completion and group action.
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