1/23/2019 Hodge Seminar
2019-01-23 13:30 - 15:00 (America/New_York) | MA

1/27/2020 Math Physics Seminar
2019-01-26 00:00 - 2019-01-27 13:00 | MA

1/28/2018 Mathematical Physics Seminar
2019-01-28 00:00 | MA

1/30/2019 Hodge and Noether-Lefschetz Loci Seminar
2019-01-30 13:30 - 15:00 | MA

1/31/2019 General Relativity Seminar
2019-01-31 15:00 - 16:00 | MA

2/4/2019 Math Physics Seminar
2019-02-04 12:00 - 14:00 | MA

Special Lecture Series on Derived Algebraic/Differential Geometry
2019-02-05 15:00 - 2019-06-09 16:30 | MA
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

2/6/2019 Hodge and Noether-Lefschetz Loci Seminar
2019-02-06 13:10 - 15:00 | MA

2/7/2019 General Relativity Seminar
2019-02-07 15:00 - 16:00 | MA

Inference for the Mean
2019-02-07 16:30 - 17:30 | CMSA, 20 Garden Street, Cambridge, MA, 02138, United States
Speaker: Ulrich Mueller (Princeton)
Title: Inference for the Mean
Abstract: Consider inference about the mean of a population with finite variance, based on an i.i.d. sample. The usual t-statistic yields correct inference in large samples, but heavy tails induce poor small sample behavior. This paper combines extreme value theory for the smallest and largest observations with a normal approximation for the t-statistic of a truncated sample to obtain more accurate inference. This alternative approximation is shown to provide a refinement over the standard normal approximation to the full sample t-statistic under more than two but less than three moments, while the bootstrap does not. Small sample simulations suggest substantial size improvements over the bootstrap.

2/7/2019 Random Matrix and Probability Theory Seminar
2019-02-07 16:30 - 17:30 | MA

2/11/2019 Mathematical Physics Seminar
2019-02-11 12:00 - 14:00 | MA

2/13/2019 Hodge and Noether-Lefschetz Loci Seminar
2019-02-13 13:30 - 15:00 | MA

2/13/2019 Special Algebraic Geometry Seminar
2019-02-13 15:00 - 16:00 | MA

2/14/2019 General Relativity Seminar
2019-02-14 15:00 - 16:00 | MA

2/14/2019 Random Matrix and Probability Theory Seminar
2019-02-14 16:30 - 17:30 | MA

2/20/2019 Fluid Dynamics Seminar
2019-02-20 15:00 - 16:00 | MA

Optimally Imprecise Memory and Biased Forecasts
2019-02-20 16:30 - 17:30 | CMSA, 20 Garden Street, Cambridge, MA, 02138, United States
Speaker: Michael Woodford (Columbia)
Title: Optimally Imprecise Memory and Biased Forecasts
Abstract: We propose a model of optimal decision making subject to a memory constraint. The constraint is a limit on the complexity of memory measured using Shannon’s mutual information, as in models of rational inattention; the structure of the imprecise memory is optimized (for a given decision problem and noisy environment) subject to this constraint. We characterize the form of the optimally imprecise memory, and show that the model implies that both forecasts and actions will exhibit idiosyncratic random variation; that beliefs will fluctuate forever around the rational-expectations (perfect-memory) beliefs with a variance that does not fall to zero; and that more recent news will be given disproportionate weight. The model provides a simple explanation for a number of features of observed forecast bias in laboratory and field settings. [Joint work with Rava Azeredo da Silveira and Yeji Sung

2/21/2019 Random Matrix and Probability Theory Seminar
2019-02-21 16:30 - 17:30 | MA

2/22/2019 Social Science Applications Forum
2019-02-22 14:00 | MA

Growth and zero sets of eigenfunctions and of solutions to elliptic partial differential equations
2019-02-25 09:30 - 2019-03-01 17:00 | CMSA, 20 Garden Street, Cambridge, MA, 02138, United States
From February 25 to March 1, the CMSA will be hosting a workshop on Growth and zero sets of eigenfunctions and of solutions to elliptic partial differential equations.
Key participants of this workshop include David Jerison (MIT), Alexander Logunov (IAS), and Eugenia Malinnikova (IAS). This workshop will have morning sessions on Monday-Friday of this week from 9:30-11:30am, and afternoon sessions on Monday, Tuesday, and Thursday from 3:00-5:00pm.
The sessions will be held in (G02) (downstairs) at 20 Garden, except for Tuesday afternoon, when the talk will be in (G10).

2/25/2019 Math Physics Seminar
2019-02-25 12:00 - 14:00 | MA

02/26/2020 Random Matrix and Probability Theory Seminar
2019-02-26 14:00 - 15:00 | MA

Sentiment and Speculation in a Market with Heterogeneous Beliefs
2019-02-27 14:30 - 15:30 | CMSA, 20 Garden Street, Cambridge, MA, 02138, United States
Speaker: Ian Martin (LSE)
Title: Sentiment and Speculation in a Market with Heterogeneous Beliefs
Abstract: We present a dynamic model featuring risk-averse investors with heterogeneous beliefs. Individual investors have stable beliefs and risk aversion, but agents who were correct in hindsight become relatively wealthy; their beliefs are overrepresented in market sentiment, so “the market” is bullish following good news and bearish following bad news. Extreme states are far more important than in a homogeneous economy. Investors understand that sentiment drives volatility up, and demand high risk premia in compensation. Moderate investors supply liquidity: they trade against market sentiment in the hope of capturing a variance risk premium created by the presence of extremists. [Joint work with Dimitris Papadimitriou]

A sharp transition for Gibbs measures associated to the nonlinear Schrödinger equation
2019-02-28 14:30 - 15:00 | CMSA, 20 Garden Street, Cambridge, MA, 02138, United States
Speaker: Philippe Sosoe (Cornell)
Title: A sharp transition for Gibbs measures associated to the nonlinear Schrödinger equation
Abstract: In 1987, Lebowitz, Rose and Speer (LRS) showed how to construct formally invariant measures for the nonlinear Schrödinger equation on the torus. This seminal contribution spurred a large amount of activity in the area of partial differential equations with random initial data. In this talk, I will explain LRS’s result, and discuss a sharp transition in the construction of the Gibbs-type invariant measures considered by these authors. (Joint work with Tadahiro Oh and Leonardo Tolomeo)

3/4/2019 Mathematical Physics Seminar
2019-03-04 12:00 - 14:00 | MA

3/6/2019 Fluid Dynamics Seminar
2019-03-06 15:00 - 16:00 | MA

3/6/2019 Random Matrix & Probability Theory Seminar
2019-03-06 16:15 - 17:15 | MA

3/7/2019 Social Science Applications Forum
2019-03-07 14:30 - 15:00 | MA

3/8/2019 Special Seminar
2019-03-08 15:00 - 16:00 | MA
