RIT on Geometry and Physicshttp://www-math.umd.edu/research/seminars.html Organizational meeting for fall 2020 http://www-math.umd.edu/research/seminars.html Thu, 10 Sep 2020 15:30:00 EDT Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 17 Sep 2020 15:30:00 EDT Where: 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) http://www-math.umd.edu/research/seminars.html Thu, 24 Sep 2020 15:30:00 EDT Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 01 Oct 2020 15:30:00 EDT Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 08 Oct 2020 15:30:00 EDT Where: online, contact Jonathan Rosenberg for zoom link
Speaker: Steven Jin, UMD -
]]> Applications of Tropical Geometry to Enumerative Geometry http://www-math.umd.edu/research/seminars.html Thu, 15 Oct 2020 15:30:00 EDT Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 22 Oct 2020 15:30:00 EDT Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 29 Oct 2020 15:30:00 EDT Where: online, contact Jonathan Rosenberg for zoom link
Speaker: Elliot Kienzle (UMD)
Abstract: starting on Gross's book
]]> A and B models http://www-math.umd.edu/research/seminars.html Thu, 05 Nov 2020 15:30:00 EST Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 12 Nov 2020 15:30:00 EST Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 19 Nov 2020 15:30:00 EST Where: online, contact Jonathan Rosenberg for zoom link
Speaker: Amin Gholampour (UMD)
Abstract: Gross Ch. 3.
]]> no meeting this week because of schedule conflict http://www-math.umd.edu/research/seminars.html Thu, 03 Dec 2020 15:30:00 EST Where:

]]> Log Geometry http://www-math.umd.edu/research/seminars.html Thu, 10 Dec 2020 15:15:00 EST Where: online, contact Jonathan Rosenberg for zoom link
Speaker: Amin Gholampour (UMD)
Abstract: Gross Ch. 3.
]]> Organizational meeting for spring 2021 http://www-math.umd.edu/research/seminars.html Thu, 28 Jan 2021 15:30:00 EST Where: 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 http://www-math.umd.edu/research/seminars.html Thu, 04 Feb 2021 15:30:00 EST Where: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Amin Gholampour
]]> Relating Log Geometry to the Mikhalkin Theorem http://www-math.umd.edu/research/seminars.html Thu, 11 Feb 2021 15:30:00 EST Where: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Amin Gholampour
]]> Gross 5.1: Landau-Ginzburg models http://www-math.umd.edu/research/seminars.html Thu, 25 Feb 2021 15:30:00 EST Where: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Jonathan Rosenberg
]]> Gross 5.2: Tropical descendent invariants http://www-math.umd.edu/research/seminars.html Thu, 04 Mar 2021 15:30:00 EST Where: online at Zoom meeting 916 8725 5505, contact Jonathan Rosenberg for passcode
Speaker: Steven Jin
]]> Gauged Linear Sigma Models and connections to physics http://www-math.umd.edu/research/seminars.html Thu, 11 Mar 2021 15:30:00 EST Where:
Speaker: Tristan Hubsch
]]> Gross 5.3: The main B-model result http://www-math.umd.edu/research/seminars.html Thu, 25 Mar 2021 15:30:00 EDT Where:
Speaker: Amin Gholampour
]]> An introduction to the Classical Langlands program http://www-math.umd.edu/research/seminars.html Thu, 01 Apr 2021 15:30:00 EDT Where:
Speaker: Steven Jin (UMd)
]]> An Introduction to the (Categorical) Geometric Langlands program http://www-math.umd.edu/research/seminars.html Thu, 08 Apr 2021 15:30:00 EDT Where:
Speaker: Steven Jin
]]> Aspects of 4-dimensional gauge theory http://www-math.umd.edu/research/seminars.html Thu, 15 Apr 2021 15:30:00 EDT Where:
Speaker: Siddarth Taneja
]]> Mirror symmetry of Hitchin moduli spaces http://www-math.umd.edu/research/seminars.html Thu, 22 Apr 2021 15:30:00 EDT Where:
Speaker: Elliot Kienzle
]]> Mirror symmetry of Hitchin moduli spaces http://www-math.umd.edu/research/seminars.html Thu, 29 Apr 2021 15:30:00 EDT Where:
Speaker: Elliot Kienzle
]]>