Where: Math 3206

Speaker: Tamás Darvas (University of Maryland) -

Where: 2300.0

Speaker: Ryan Hunter (UMD) -

Where: MATH2300

Speaker: Matthew Dellatorre (UMD) -

Where: MATH2300

Speaker: Matthew Dellatorre (UMD) -

Where: MATH2300

Speaker: Ryan Hunter (UMD) -

Where: MATH2300

Speaker: Tamás Darvas (UMD) -

Where: Math 2300

Speaker: Yanir Rubinstein (UMD) -

Where: Math 2300

Speaker: Matthew Dellatorre (UMD) -

Where: Math 2300

Speaker: Tamas Darvas (UMD) -

Where: Math 2300

Speaker: Ryan Hunter (UMD) -

Where: MTH 1313

Speaker: Renjie Feng (UMCP) -

Abstract: In this talk, I will define random polynomials and their generalization to complex manifolds. The main result is regarding the landscape of such random holomorphic fields: I will show that the expected value and median of the supremum of L^2 normalized random holomorphic fields of degree n on m-dimensional Kahler manifolds are asymptotically of order \sqrt{m\log n}. This is the joint work with S. Zelditch.

Where: 3206

Speaker: Liangming Shen (Princeton University) -

Abstract: Conical Kahler metrics have become an interesting topic in Kahler geometry, and played an important role in the solution of Yau-Tian-Donaldson conjecture. In this talk, we make use of approximation method of Guenancia-Paun to extend Tian-Zhang's maximal existence result of Kahler-Ricci flow to conic case. Finally, we can sketch the $C^{2,\alpha}$-estimate for conical Kahler-Ricci flow based on Tian's

master thesis.

Where: MATH 2300

Speaker: Ryan Hunter (UMCP) -

Where: MATH 2300

Speaker: Yanir Rubinstein (UMD) -

Where: MATH2300

Speaker: Yanir Rubinstein (UMD) -

Where: MATH 2300

Speaker: Yanir Rubinstein (UMCP) -

Where: MATH2300

Speaker: Tamas Darvas (UMD) -

Where: MATH2300

Speaker: Tamas Darvas (UMD) -

Where: MATH 2300

Speaker: Jesse Gell-Redman (JHU) -

Abstract: : We discuss some of the basic structures in the modern perspective on Microlocal Analysis (which we call "geometric") which goes back to Melrose in the early 80's. The original objects of study were linear elliptic operators on non-compact manifolds, their mapping properties, spectral theory, etc.

We will focus our discussion on the application of these techniques to certain singular spaces, beginning with manifolds with conic singularities, arriving (hopefully) at a generalizable framework for semilinear elliptic equations on singular spaces. Related work includes that of Jeffers-Mazzeo-Rubinstein on K\"ahler-Einstein metrics, but we will focus on the substantially simpler harmonic map problem. The first lecture will be mostly motivation and technical background, and hopefully the beginning of the discussion of the linear elliptic theory.

Where: MATH2300

Speaker: Matthew Dellatorre (UMD) -

Where: MATH2300

Speaker: Jesse Gell-Redman (JHU) -

Abstract: We discuss some of the basic structures in the modern perspective on Microlocal Analysis (which we call "geometric") which goes back to Melrose in the early 80's. The original objects of study were linear elliptic operators on non-compact manifolds, their mapping properties, spectral theory, etc. We will focus our discussion on the application of these techniques to certain singular spaces, beginning with manifolds with conic singularities, arriving (hopefully) at a generalizable framework for semilinear elliptic equations on singular spaces. Related work includes that of Jeffers-Mazzeo-Rubinstein on K\"ahler-Einstein metrics, but we will focus on the substantially simpler harmonic map problem. The first lecture will be mostly motivation and technical background, and hopefully the beginning of the discussion of the linear elliptic theory.

Where: MATH2300

Speaker: Jesse Gell-Redman (JHU) -