Algebraic geometry | Conjectures
In mathematics, mirror symmetry is a conjectural relationship between certain Calabi–Yau manifolds and a constructed "mirror manifold". The conjecture allows one to relate the number of rational curves on a Calabi-Yau manifold (encoded as Gromov–Witten invariants) to integrals from a family of varieties (encoded as period integrals on a variation of Hodge structures). In short, this means there is a relation between the number of genus algebraic curves of degree on a Calabi-Yau variety and integrals on a dual variety . These relations were original discovered by Candelas, De la Ossa, Green, and Parkes in a paper studying a generic quintic threefold in as the variety and a construction from the quintic Dwork family giving . Shortly after, Sheldon Katz wrote a summary paper outlining part of their construction and conjectures what the rigorous mathematical interpretation could be. (Wikipedia).
Alessandro Chiodo - Towards a global mirror symmetry (Part 1)
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathematics and physics in the last twenty years; we will review here a number of results going from the enumerative geometry of curves to homological algebra. These advances justify the i
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten
Mirror symmetry for character varieties and field theory by Sergey Galkin
Date/Time: Wednesday, March 4, 2:00 pm Title: Mirror symmetry for character varieties and field theory Abstract: In a joint work in progress with Swarnava Mukhopadhyay and Pieter Belmans we use mirrors for projective threespaces as building blocks to construct mirrors for moduli spaces o
From playlist Seminar Series
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
Homological Mirror Symmetry - Nicholas Sheridan
Nicholas Sheridan Massachusetts Institute of Technology; Member, School of Mathematics February 11, 2013 Mirror symmetry is a deep conjectural relationship between complex and symplectic geometry. It was first noticed by string theorists. Mathematicians became interested in it when string
From playlist Mathematics
Alessandro Chiodo - Towards a global mirror symmetry (Part 3)
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathematics and physics in the last twenty years; we will review here a number of results going from the enumerative geometry of curves to homological algebra. These advances justify the i
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten
Alessandro Chiodo - Towards a global mirror symmetry (Part 2)
Mirror symmetry is a phenomenon which inspired fundamental progress in a wide range of disciplines in mathematics and physics in the last twenty years; we will review here a number of results going from the enumerative geometry of curves to homological algebra. These advances justify the i
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten
Mirror symmetry for complex projective space and optimal towers of algebraic curves by Sergey Galkin
Date/Time: Monday, March 2, 4:00 pm Title: Mirror symmetry for complex projective space and optimal towers of algebraic curves Abstract: I will speak about mirror symmetry for projective threespace, and how with Sergey Rybakov we used it to construct an optimal tower of algebraic curves
From playlist Seminar Series
Vertex algebras, quantum master equation and mirror symmetry - Si Li
Workshop on Homological Mirror Symmetry: Emerging Developments and Applications Topic: Vertex algebras, quantum master equation and mirror symmetry Speaker: Si Li Affiliation: Tsinghua University Date: March 15, 2017 For more video, visit http://video.ias.edu
From playlist Mathematics
Tony Yue Yu - 1/4 The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
Notes: https://nextcloud.ihes.fr/index.php/s/GwJbsQ8xMW2ifb8 1/4 - Motivation and ideas from mirror symmetry, main results. --- We show that the naive counts of rational curves in an affine log Calabi-Yau variety U, containing an open algebraic torus, determine in a surprisingly simple wa
From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
From the Fukaya category to curve counts via Hodge theory - Nicholas Sheridan
Nicholas Sheridan Veblen Research Instructor, School of Mathematics September 26, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Mirror symmetry and cluster algebras – Paul Hacking & Sean Keel – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.15 Mirror symmetry and cluster algebras Paul Hacking & Sean Keel Abstract: We explain our proof, joint with Mark Gross and Maxim Kontsevich, of conjectures of Fomin–Zelevinsky and Fock–Goncharov on canonical bases of cluster algebras. We i
From playlist Algebraic & Complex Geometry
Chiu-Chu Melissa Liu: On the remodeling conjecture for toric Calabi-Yau 3-orbifolds
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Generalizing GKZ secondary fan using Berkovich geometry by Tony Yue Yu
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Open Gromov-Witten Invariants from the Fukaya Category - Kai Hugtenburg
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Open Gromov-Witten Invariants from the Fukaya Category Speaker: Kai Hugtenburg Affiliation: University of Edinburgh Date: February 10, 2023 Enumerative mirror symmetry is a correspondence between closed Grom
From playlist Mathematics
On the Gamma conjecture associated with toric flips - Hiroshi Iritani
Workshop on Homological Mirror Symmetry: Methods and Structures Title: On the Gamma conjecture associated with toric flips Speaker: Hiroshi Iritani Affiliartion: Kyoto University Date: November 7, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Symmetry in Physics | Noether's theorem
▶ Topics ◀ Global / Local Symmetries, Continuous / Discrete Symmetries ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 If you want to help us get rid of ads on YouTube, you can support us on
From playlist Symmetry
First steps of non-archimedean enumerative geometry - Tony Yue Yu
Short talks by postdoctoral members Topic: First steps of non-archimedean enumerative geometry Speaker: Tony Yue Yu Affiliation: Member, School of Mathematics Date: January 30, 2017 For more video, visit http://video.ias.edu
From playlist Mathematics
http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Mirror symmetry for chain type polynomials - Umut Varolgunes
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Mirror symmetry for chain type polynomials Speaker: Umut Varolgunes Affiliation: Stanford University Date: October 16, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics