PROGRAM ON TOPOLOGICAL ASPECTS OF CONDENSED MATTER
2018-08-27 09:00 - 2019-05-05 17:00 (America/New_York) | CMSA 20 Garden Street Cambridge, Massachusetts 02138 United States
During Academic year 2018-19, the CMSA will be hosting a Program on Topological Aspects of Condensed Matter. New ideas rooted in topology have recently had a big impact on condensed matter physics, and have highlighted new connections with high energy physics, mathematics and quantum information theory. Additionally, these ideas have found applications in the design of photonic systems and of materials with novel mechanical properties. The aim of this program will be to deepen these connections by foster discussion and seeding new collaborations within and across disciplines.
As part of the Program, the CMSA will be hosting two workshops:

Workshop on Topology and Quantum Phases of Matter (August 27-28, 2018)
Workshop on Topological Aspects of Condensed Matter (September 10-11, 2019)

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Additionally, a weekly Topology Seminar will be held on Mondays from 10:00-11:30pm in CMSA room G10.

Here is a partial list of the mathematicians who have indicated that they will attend part or all of this special program

Name
Tentative Visiting Dates

Jason Alicea

11/12/2018-11/16/2018

Maissam Barkeshli
4/22/2019 – 4/26/2019

Xie Chen
4/15-17/2019 4/19-21/2019 4/24-30/2019

Lukasz Fidkowski

1/7/2019-1/11/2019

Zhengcheng Gu

8/15/2018-8/30/2018 & 5/9/2019-5/19/2019

Yin Chen He

10/14/2018-10/27/2018

Anton Kapustin
8/26/2018-8/30/2018 & 3/28/2019-4/5/2019

Michael Levin

3/11/2019-3/15/2019

Yuan-Ming Lu
4/29/2019-6/01/2019

Adam Nahum

4/2/2019- 4/19/2019

Masaki Oshikawa

4/22/2019-5/22/2019

Chong Wang
10/22/2018-11/16/2018

Juven Wang

4/1/2019-4/16/2019

Cenke Xu
8/26/2018-10/1/2018

Yi-Zhuang You

4/1/2019-4/19/2019

Mike Zaletel

5/1/2019-5/10/2019

Special Lecture Series on Derived Algebraic/Differential Geometry
2019-02-05 15:00 - 2019-06-09 16:30
In the Spring 2019 Semester, the CMSA will be hosting a special lecture series on Derived algebraic/differential geometry run by Artan Sheshmani, with lectures given by Prof. Sheshmani and Dr. Dennis Borisov. The seminar will be held on Tuesdays and Thursdays from 3:00-4:30pm in CMSA, room G10.

Click here for reference material
Click here for a syllabus
Schedule:
Section 1: Basic setting of derived geometry
The goal: To collect the minimum set of tools needed to do algebraic geometry in the derived context.

2/05/2019
Lecture 1: Model and с-categories
Video

2/07/2019
Lecture 2: Grothendieck topologies and homotopy descent
Video

2/12/2019
Lecture 3: Derived Artin stacks
Video

2/14/2019
Lecture 4: Cotangent complexes

Section 2: Loop spaces and differential forms
The goal: This is the algebraic heart of the course – here we learn the homological techniques that are needed for shifted symplectic forms.

2/19/2019
Lecture 5: De Rham complexes and S1-equivariant schemes (loop spaces)
Video

2/21/2019
Lecture 6: Chern character
Video

2/26/2019
Room G02
Lecture 7: Local structure of closed differential forms in the derived sense Part I
Video

2/28/2019
Lecture 8: Local structure of closed differential forms in the derived sense Part II
Video

3/05/2019
Lecture 9: Cyclic homology
Video

Section 3: Shifted symplectic structures
Goal: To see applications of the algebraic techniques from above in the geometric context of the actual moduli spaces.

3/07/2019
Lecture 10: Definition and existence results
Video

3/12/2019
Lecture 11: Lagrangians and Lagrangian fibrations
Video

3/14/2019
Room G02
Lecture 12: Lagrangians and Lagrangian fibrations
Video

3/26/2019
Lecture 13: Intersections of Lagrangians
Video

3/28/2019
Room G02
Lecture 14: Examples and applications 2 (Part I)
Video

4/02/2019
Lecture 15: Examples and applications 2 (Part II)
Video

Section 4: Uhlenbeck–Yau construction and correspondence

4/04/2019
Lecture 16: Examples and applications 2 (Part III)
Video

4/09/2019
Room G02
Lecture 17: Uhlenbeck–Yau construction and correspondence Examples (Part I)
Video

Colloquia & Seminars,Events,Seminars

4/25/2019 Fluid Dynamics Seminar
2019-04-25 00:00 - 13:00

4/25/2019 General Relativity Seminar
2019-04-25 10:30 - 23:30
