Mirror Symmetry Courses and Certifications

International Mathematical Union

Homological Knot Invariants from Mirror Symmetry

Explore homological knot invariants through the lens of mirror symmetry, delving into advanced mathematical concepts and their interconnections in topology and geometry.

• YouTube
• 43 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin

Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.

• YouTube
• 3 hours 12 minutes
• On-Demand
• Free Video

ICTP Mathematics

Cluster Algebras and Mirror Symmetry - Lecture 2

Explore connections between cluster algebras and mirror symmetry in algebraic geometry, delving into advanced mathematical concepts and their applications.

• YouTube
• 57 minutes
• On-Demand
• Free Video

ICTP Mathematics

Cluster Algebras and Mirror Symmetry - Lecture 1

Explore the intricate connection between cluster algebras and mirror symmetry in mathematics, delving into advanced concepts and their applications in algebraic geometry.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Mohammed Abouzaid - Floer Homotopy Theory Pt. II

Explore recent advancements in Floer generalized homology groups, their applications, and ongoing research on curvature in this context with Mohammed Abouzaid.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces

Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.

• YouTube
• 52 minutes
• On-Demand
• Free Video

IMSA

Functions on Commuting Stacks via Mirror Symmetry

Explores complex reductive groups, commuting stacks, and G-local systems on tori. Utilizes mirror symmetry and Betti geometric Langlands to calculate global functions on commuting stacks.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

IMSA

Mirror Symmetry and Cluster Varieties

Explore symplectic geometry of cluster varieties and their applications to mirror symmetry, including homological mirror symmetry for Gross-Hacking-Keel cluster varieties.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Toward the Logarithmic Hilbert Scheme

Explore logarithmic geometry and its applications in mirror symmetry, focusing on the development of a logarithmic Hilbert scheme and its implications for degenerations and tropical mathematics.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

ICTP Mathematics

Mirror Symmetry and Big Algebras

Explore mirror symmetry in Hitchin systems, Kirillov algebras, and equivariant cohomology. Delve into conjectures on non-very stable flows and big commutative subalgebras in affine Schubert varieties.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

ICTP Mathematics

Mirror Symmetry for Fano Orbifolds - Lecture 01

Explore mirror symmetry for Fano orbifolds, covering key concepts like differential operators and torque variety in this advanced mathematics lecture.

• YouTube
• 47 minutes
• On-Demand
• Free Video

BIMSA

Spherical Functions and Mirror Symmetry

Explore spherical functions and mirror symmetry in mathematics, bridging quantum physics and the Langlands Program through innovative interdisciplinary approaches.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Galileo Galilei Institute (GGI)

Mirror Symmetry for Hyperkahler Manifolds

Explore mirror symmetry in hyperkähler manifolds, delving into complex geometric structures and their dual counterparts in string theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

An Update on SYZ Mirror Symmetry and Family Floer Theory

Explore Strominger-Yau-Zaslow approach to homological mirror symmetry, focusing on Lagrangian torus fibrations and Fukaya-Floer algebra construction for mirror symmetry in complex geometry.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Stony Brook Mathematics

Towards a Mathematical Theory of 3D Mirror Symmetry

Explore the mathematical implications of 3D mirror symmetry, connecting quantum field theory dualities to algebraic geometry and symplectic topology. Uncover links to geometric Langlands and symplectic duality.

• YouTube
• 59 minutes
• On-Demand
• Free Video