RIT on Geometry and Physics Archives for Fall 2021 to Spring 2022
Organizational meeting for fall 2020
When: Thu, September 10, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: () -
Abstract: The planned topic for 2020 is "tropical geometry" and its applications to physics. A useful source is the book by Mark Gross, http://www.math.ucsd.edu/~mgross/kansas.pdf
Tropical algebra and curves in the plane
When: Thu, September 17, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Sze-Hong Kwong, UMD-
Abstract: We will start with the first two chapters of "Brief introduction to tropical geometry" by Mikhalkin et al., arXiv:1502.05950
Tropical algebra and curves in the plane (cont'd)
When: Thu, September 24, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Sze-Hong Kwong, UMD-
Abstract: More on amoebas and curves from "Brief introduction to tropical geometry" by Mikhalkin et al., arXiv:1502.05950
Tropical algebra and applications to real algebraic gometry
When: Thu, October 1, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Siddharth Taneja, UMD -
Abstract: Chapter 3 of "Brief introduction to tropical geometry" by Mikhalkin et al., arXiv:1502.05950
Introduction to Enumerative Geometry and Gromov-Witten Invariants
When: Thu, October 8, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Steven Jin, UMD -
Applications of Tropical Geometry to Enumerative Geometry
When: Thu, October 15, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Steven Jin, UMD -
Abstract: Chapter 4 of "Brief introduction to tropical geometry" by Mikhalkin et al., arXiv:1502.05950
Tropical Homology with Applications to Hodge and K-Theory
When: Thu, October 22, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Saul Hilsenrath (UMD)
Abstract: Tropical manifolds are polyhedral spaces locally modeled by Bergman fans. Of particular interest are the tropical manifolds which are Hausdorff limits of the tropicalizations (amoebas) of families of projective algebraic varieties, due to the connection between their homology and the Hodge numbers of the algebraic families. In this talk, I will introduce tropical manifolds in terms of Bergman fans of matroids and prove Zharkov’s result relating Bergman fans to Orlik-Solomon algebras. I will then present Itenberg et al.’s tropical homology, followed by Gross and Shokrieh’s sheaf-theoretic perspective. Turning to applications, I will present the proof, using the Steenbrink-Illusie spectral sequence, that the Hodge numbers of a family of projective algebraic varieties equal the dimensions of the homology groups of the family’s tropical limit. Building on this connection with Hodge theory, I will discuss Zharkov and Kontsevich’s tropical Hodge conjecture, followed by Mikami’s tropical Milnor K-theory and the tropical Hodge conjecture it implies. I will conclude with a result by Speyer relating K-theory to an invariant of matroids via tropical linear spaces.
A and B models
When: Thu, October 29, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Elliot Kienzle (UMD)
Abstract: starting on Gross's book
A and B models
When: Thu, November 5, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Elliot Kienzle (UMD)
Abstract: starting on Gross's book
The B-model (cont'd) followed by Intro to Log Geometry
When: Thu, November 12, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Elliot Kienzle and Amin Gholampour (UMD)
Abstract: We will finish up Gross Ch. 2 and then move on to Gross Ch. 3.
Log Geometry
When: Thu, November 19, 2020 - 3:30pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Amin Gholampour (UMD)
Abstract: Gross Ch. 3.
no meeting this week because of schedule conflict
When: Thu, December 3, 2020 - 3:30pmWhere:
Log Geometry
When: Thu, December 10, 2020 - 3:15pmWhere: online, contact Jonathan Rosenberg for zoom link
Speaker: Amin Gholampour (UMD)
Abstract: Gross Ch. 3.
Organizational meeting for spring 2021
When: Thu, January 28, 2021 - 3:30pmWhere: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: () -
Abstract: The planned topic for 2020 is "tropical geometry" and its applications to physics. A useful source is the book by Mark Gross, http://www.math.ucsd.edu/~mgross/kansas.pdf
Review of Gross Chapter 3 on Log Geometry
When: Thu, February 4, 2021 - 3:30pmWhere: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Amin Gholampour
Relating Log Geometry to the Mikhalkin Theorem
When: Thu, February 11, 2021 - 3:30pmWhere: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Amin Gholampour
Gross 5.1: Landau-Ginzburg models
When: Thu, February 25, 2021 - 3:30pmWhere: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Jonathan Rosenberg
Gross 5.2: Tropical descendent invariants
When: Thu, March 4, 2021 - 3:30pmWhere: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Steven Jin
Gauged Linear Sigma Models and connections to physics
When: Thu, March 11, 2021 - 3:30pmWhere:
Speaker: Tristan Hubsch
Gross 5.3: The main B-model result
When: Thu, March 25, 2021 - 3:30pmWhere:
Speaker: Amin Gholampour
An introduction to the Classical Langlands program
When: Thu, April 1, 2021 - 3:30pmWhere:
Speaker: Steven Jin (UMd)
An Introduction to the (Categorical) Geometric Langlands program
When: Thu, April 8, 2021 - 3:30pmWhere:
Speaker: Steven Jin
Aspects of 4-dimensional gauge theory
When: Thu, April 15, 2021 - 3:30pmWhere:
Speaker: Siddarth Taneja
Mirror symmetry of Hitchin moduli spaces
When: Thu, April 22, 2021 - 3:30pmWhere:
Speaker: Elliot Kienzle
Mirror symmetry of Hitchin moduli spaces
When: Thu, April 29, 2021 - 3:30pmWhere:
Speaker: Elliot Kienzle