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Subjects
Mathematics
Geometry
Tropical Geometry

Free Online

Tropical Geometry Courses and Certifications

Explore the foundations of tropical geometry, including tropical varieties, moduli spaces, and their applications in number theory and algebraic geometry. Learn from leading mathematicians through accessible YouTube lectures, ideal for beginners interested in modern mathematical methods and interdisciplinary connections.

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International Centre for Theoretical Sciences
Combinatorial Algebraic Geometry - Tropical and Real

Explore advanced tropical geometry, real algebraic geometry, and combinatorial methods through expert lectures covering polytopes, optimization, quantum field theory, and geometric applications.
- YouTube
- 1 day 14 hours 25 minutes
- On-Demand
- Free Video
ICTP Mathematics
Basic Notions Seminar on Tropical Geometry

Introduction to tropical geometry, focusing on plane tropical curves as piecewise linear graphs and their applications in enumerative geometry. Explores the combinatorial aspects that reflect properties of algebraic varieties.
- YouTube
- 1 hour 9 minutes
- On-Demand
- Free Video
Fields Institute
Moduli Spaces in Tropical Geometry

Explore moduli spaces in tropical geometry, examining their structure and applications in algebraic geometry, with insights from Brown University expert Melody Chan.
- YouTube
- 57 minutes
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- Free Video
IMSA
Tropical Geometry & Artificial Life

Explore self-organized criticality in artificial life models through tropical geometry, examining its applications and implications for understanding complex systems.
- YouTube
- 1 hour 4 minutes
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- Free Video
Applied Algebraic Topology Network
Tropical Geometry of Phylogenetic Tree Spaces

Explore tropical geometry's application to phylogenetic tree spaces, examining BHV space, tropical Grassmannians, and their implications for computational biology and statistics.
- YouTube
- 59 minutes
- On-Demand
- Free Video
International Centre for Theoretical Sciences
Geometry of Tropical Varieties with Applications - Lecture 3

Explore advanced concepts in tropical geometry, including fans, fanfolds, and tropical modifications. Learn about operations, constructions, and theorems applicable to tropical varieties and their geometric properties.
- YouTube
- 1 hour 9 minutes
- On-Demand
- Free Video
Joint Mathematics Meetings
Tropical Geometry and Shallow Water Waves

Explore the fascinating intersection of tropical geometry and shallow water waves in this engaging lecture by Harvard mathematician Lauren Kiyomi Williams.
- YouTube
- 1 hour 7 minutes
- On-Demand
- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 3

Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers, with insights on incorporating descendants.
- YouTube
- 1 hour 6 minutes
- On-Demand
- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 2

Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, k-DR cycles, and leaky Hurwitz numbers. Examine ongoing research on descendants in tropical algorithms.
- YouTube
- 54 minutes
- On-Demand
- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Tropical Contributions to Enumerative Geometry of Target Dimension One - Lecture 1

Explore tropical geometry's impact on enumerative problems in moduli spaces of curves. Delve into tropical Hurwitz numbers, branch polynomials, and k-DR cycles, uncovering new perspectives in algebraic combinatorics.
- YouTube
- 1 hour 5 minutes
- On-Demand
- Free Video
Institute for Advanced Study
Tropical Geometry - Part 2

Delve into tropical geometry as a degeneration technique in algebraic geometry, exploring tropical curves, abelian varieties, and moduli spaces with Melody Chan.
- YouTube
- 1 hour 2 minutes
- On-Demand
- Free Video
Institute for Advanced Study
Tropical Geometry - Part 1

Dive into tropical geometry as a modern degeneration technique in algebraic geometry, exploring tropical curves, abelian varieties, and moduli spaces with Melody Chan from Brown University.
- YouTube
- 1 hour 2 minutes
- On-Demand
- Free Video
Fields Institute
Tropical Intersections in Algebraic Geometry

Explore tropical intersections in algebraic geometry, examining their applications and implications for mathematical research and problem-solving.
- YouTube
- 33 minutes
- On-Demand
- Free Video
Institute for Advanced Study
Tropical Geometry - Part 3

Delve into tropical geometry as a degeneration technique in algebraic geometry, exploring tropical curves, abelian varieties, and moduli spaces with Melody Chan.
- YouTube
- 1 hour 4 minutes
- On-Demand
- Free Video
Institute for Advanced Study
Tropical Geometry - Part 4

Delve into tropical geometry as a degeneration technique in algebraic geometry, exploring tropical curves, abelian varieties, and moduli spaces with Melody Chan.
- YouTube
- 1 hour 3 minutes
- On-Demand
- Free Video

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