In this series of 4-5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows: Lecture 1: Non-Renormalization Theorems Lecture 2: Classical and Quantum Moduli Spaces Lecture 3: Superconformal Field Theories and Seiberg Duality Lecture 4: Central Charges, a-maximization, and the a-theorem Lecture 5 (if it happens): Brane Tilings and Dimers

In this series of 4-5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows: Lecture 1: Non-Renormalization Theorems Lecture 2: Classical and Quantum Moduli Spaces Lecture 3: Superconformal Field Theories and Seiberg Duality Lecture 4: Central Charges, a-maximization, and the a-theorem Lecture 5 (if it happens): Brane Tilings and Dimers

In this series of 4-5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows: Lecture 1: Non-Renormalization Theorems Lecture 2: Classical and Quantum Moduli Spaces Lecture 3: Superconformal Field Theories and Seiberg Duality Lecture 4: Central Charges, a-maximization, and the a-theorem Lecture 5 (if it happens): Brane Tilings and Dimers

In this series of 4 or 5 2-hour lectures, I'll describe some of the powerful exact results that one can achieve in supersymmetric theories. The topics will be as follows: Lecture 1: Non-Renormalization Theorems Lecture 2: Classical and Quantum Moduli Spaces Lecture 3: Superconformal Field Theories and Seiberg Duality Lecture 4: Central Charges, a-maximization, and the a-theorem Lecture 5 (if it happens): Brane Tilings and Dimers

**Polygon Seminar** Over the past several years, it has become increasingly apparent that many interesting and tractable superconformal field theories (SCFTs) can be realized without resorting to a UV Lagrangian description. Although many of these theories have N=2 supersymmetry, these is an even larger class of N=1 theories that can be studied, certain aspects of which remain calculable despite the reduced amount of supersymmetry. In this talk, I will give an introduction to these N=1 theories, how they can be realized via M-theory and F-theory, and which tools we can use to explore them.

I will describe a new infinite set of AdS/CFT dual pairs which come from M5-branes wrapping Riemann surfaces. These solutions interpolate between and extend beyond a famous pair of solutions by Maldacena and Nunez. Additionally, the dual SCFTs are so-called "non-Lagrangian" theories, which have no weakly coupled UV description yet can (and will) be described explicitly.

I will describe a new infinite set of AdS/CFT dual pairs which come from M5-branes wrapping Riemann surfaces. These solutions interpolate between and extend beyond a famous pair of solutions by Maldacena and Nunez. Additionally, the dual SCFTs are so-called "non-Lagrangian" theories, which have no weakly coupled UV description yet can (and will) be described explicitly.

I will describe a new infinite set of AdS/CFT dual pairs which come from M5-branes wrapping Riemann surfaces. These solutions interpolate between and extend beyond a famous pair of solutions by Maldacena and Nunez. Additionally, the dual SCFTs are so-called "non-Lagrangian" theories, which have no weakly coupled UV description yet can (and will) be described explicitly.