The CMSA will be hosting a Workshop on Morphometrics, Morphogenesis and Mathematics from October 2226 at the Center of Mathematical Sciences and Applications, located at 20 Garden Street, Cambridge, MA.
The workshop is organized by L. Mahadevan (Harvard), O. Pourquie (Harvard), A. Srivastava (Florida).
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Please click here to register for this event. We have space for up to 30 registrants on a first come, first serve basis.
We may be able to provide some financial support for grad students and postdocs interested in this event. If you are interested in funding, please send a letter of support from your mentor to Hansol Hong at hansol84@gmail.com.
Confirmed Speakers:
The schedule is as follows:
Thursday 4/4/2018
Time  Speaker  Title/Abstract 
12:001:30pm  Lunch  
1:302:30pm  Tristan Collins  
2:302:45pm  Break  
2:453:45pm  Dimitry Vaintrob  
3:454:15pm  Break  
4:155:15pm  Mandy Cheung 
Friday 4/5/2018
Time  Speaker  Title/Abstract 
9:00 – 9:30am  Breakfast  
9:3010:30 am  Zack Sylvan  
10:3011:00am  Break  
11:0012:00pm  Yu Pan  Title: Augmentations categories and exact Lagrangian cobordisms.
Abstract: To a Legendrian knot, one can associate an $A_{\infty}$ category, the augmentation category. An exact Lagrangian cobordism between two Legendrianknots gives a functor of the augmentation categories of the two knots. We study the functor and establish a long exact sequence relating the corresponding cohomologyof morphisms of the two ends. As applications, we prove that the functor between augmentation categories is injective on the level of equivalence classes of objects and find new obstructions to the existence of exact Lagrangian cobordisms in terms of linearized contact homology and ruling polynomials.

12:001:30pm  Lunch  
1:302:30pm  CheukYu Mak  Title: Tropically constructed Lagrangians in mirror quintic threefolds
Abstract: In this talk, we will explain how to construct closed Lagrangian submanifolds in mirror quintic threefolds using tropical curves and the toricdegeneration technique. As an example, we will illustrate how the corresponding Lagrangians look like for tropical curves that contribute to the Gromov–Witteninvariant of the line class of the quintic threefold. We will also show that multiplicity of a tropical curve, in this symplectic setting, will be realized as the order of the torsion the first homology group of the Lagrangian. This is a joint work with Helge Ruddat.

2:302:45pm  Break  
2:453:45pm  YuShen Lin  
3:454:15pm  Break  
4:155:15pm  Yoosik Kim 
Saturday 4/6/2018
Time  Speaker  Title/Abstract 
8:309:00am  Breakfast  
9:0010:00am  Jacob Bourjaily 
Title: Stratifying OnShell Cluster Varieties
Abstract: There exists a deep correspondence between a class of physically important functions—called “onshell functions”—and certain (cluster variety) subspaces of Grassmannian manifolds, endowed with a volume form that is left invariant under cluster coordinate transformations. These are called “onshell varieties” (which may or may not include all cluster varieties). It is easy to prove that the number of onshell varieties is finite, from which it follows that the same is true for onshell functions. This is powerful and surprising for physics, because these onshell functions encode complete information about perturbative quantum field theory.
In this talk, I describe the details of this correspondence and how it is constructed and give the broad physics motivations for obtaining a more systematic understanding of onshell cluster varieties. I outline a general, bruteforce strategy for classifying these spaces; and describe the results found by applying this strategy to the case of Gr(3,6).

10:0010:15am  Break  
10:1511:15am  ShuHeng Shao  
11:1511:30am  Break  
11:3012:30pm  Mauricio Romo 