For more information visit: http://scgp.stonybrook.edu/archives/29486

1:15pm Grad / Postdoc Professional Development Seminar: Jordan Ellenberg - Doing math and also doing other things that are not math or are only partially math

**Where:** P-131**When:** Fri, Nov 15 1:15pm — 2:15pm

**Title:** Doing math and also doing other things that are not math or are only partially math

**Speaker:** Jordan Ellenberg [University of Wisconsin, Madison]

**Abstract:** I talk to a lot of students who are wrestling with the question: "To be successful as a research mathematician, do I have to give up everything else I care about in life?" I think the answer is no (whew!) and Ill talk about how this issue has played out in my own professional life.

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2:30pm Dynamical Systems Seminar: Dzmitry Dudko - Uniform a priori bounds for Siegel Renormalization

**Where:** Math Tower P-131**When:** Fri, Nov 15 2:30pm — 3:30pm

**Title:** Uniform a priori bounds for Siegel Renormalization

**Speaker:** Dzmitry Dudko [Stony Brook University]

**Abstract:** There are currently two renormalization theories describing scaling properties of the Mandelbrot set near its main cardioid. The Almost Parabolic Renormalization Theory was developed by H. Inou and M. Shishikura in the mid-2000s; it is responsible for the geometry of the Mandelbrot set near the cusp (high type rotation numbers). The Pacman Renormalization Theory was recently developed in a joint work with M. Lyubich and N. Selinger; it is responsible for the geometry of the Mandelbrot set near Siegel points (with bounded type rotation numbers). We will discuss uniform a priori bounds that have a potential to unify the above renormalization theories, providing a complete scaling structure near the main cardioid.

Joint work with M. Lyubich.

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Joint work with M. Lyubich.

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2:30pm Student Algebraic Geometry Seminar: Myeongjae Lee - The canonical divisor on toric varieties

**Where:** Math Tower 5-127**When:** Fri, Nov 15 2:30pm — 3:30pm

**Title:** The canonical divisor on toric varieties

**Speaker:** Myeongjae Lee [Stony Brook University]

**Abstract:** Continuation of the seminar on toric varieties - we will discuss the cotangent sheaf and canonical divisor on toric varieties.

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11:30am **YITP:** Cristina Mondino (NYU)

**Where:** ESS 450**When:** Mon, Nov 18 11:30am — 12:30pm

Probing Dark Matter substructure with astrometric weak lensing

**Abstract:**

Gravitational probes of Dark Matter (DM) structure on sub-galactic scales constitute an interesting tool to shed light on DM properties in a model-independent way. It has been recently pointed out that variable weak gravitational lensing effects on the motion of background stars can be used to probe nonluminous structures inside the Milky Way halo. I will describe one possible detection strategy that relies on velocity templates, and targets collapsed DM structures in the mass range from million to billion solar masses. The data analysis techniques will be discussed in detail with an application to the second data release of Gaia.

Probing Dark Matter substructure with astrometric weak lensing

Gravitational probes of Dark Matter (DM) structure on sub-galactic scales constitute an interesting tool to shed light on DM properties in a model-independent way. It has been recently pointed out that variable weak gravitational lensing effects on the motion of background stars can be used to probe nonluminous structures inside the Milky Way halo. I will describe one possible detection strategy that relies on velocity templates, and targets collapsed DM structures in the mass range from million to billion solar masses. The data analysis techniques will be discussed in detail with an application to the second data release of Gaia.

2:30pm **SCGP:** Introductory Lectures on Dark Matter: Ranny Budnik, Rouven Essig, Patrick Meade

**Where:** 102**When:** Tue, Nov 19 2:30pm — 3:30pm

**Abstract:** We will be giving a short lecture series on Dark Matter, which do not require any specific prior knowledge and are suitable for all graduate students. The lectures will take place at the Simons Center, in room 102, on Tuesdays at 2:30pm and Wednesdays at 4pm, and will be about one hour each. We plan for about 8 lectures total.

The first lecture will be next week Tuesday, October 29th.

The topics will include:

- History of Dark Matter and how it became part of the standard cosmological model

- Introduction to astrophysics and cosmology for understanding Dark Matter evidence

- Brief review of Big Bang cosmology and relation to Dark Matter

- Dynamical systems

- Alternatives to Dark Matter

- Particle physics Dark Matter candidates

- Ways to search for Dark Matter and existing constraints from various searches

The first lecture will be next week Tuesday, October 29th.

The topics will include:

- History of Dark Matter and how it became part of the standard cosmological model

- Introduction to astrophysics and cosmology for understanding Dark Matter evidence

- Brief review of Big Bang cosmology and relation to Dark Matter

- Dynamical systems

- Alternatives to Dark Matter

- Particle physics Dark Matter candidates

- Ways to search for Dark Matter and existing constraints from various searches

4:00pm Geometry/Topology Seminar: Wolfgang Ziller - TBA

**Where:** Math Tower P-131**When:** Tue, Nov 19 4:00pm — 5:30pm

**Title:** TBA

**Speaker:** Wolfgang Ziller [University of Pennsylvania]

**Abstract:**

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2:00pm **SCGP:** Physics Seminar: Ahmed Almheiri

**Where:** 313**When:** Wed, Nov 20 2:00pm — 3:00pm

2:30pm Dynamical Systems Seminar: Liviana Palmisano - TBA

**Where:** Math Tower P-131**When:** Wed, Nov 20 2:30pm — 3:30pm

**Title:** TBA

**Speaker:** Liviana Palmisano [Uppsala University]

**Abstract:** TBA

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4:00pm **SCGP:** Seminar by Immanuel Bloch

**Where:** SCGP 102**When:** Wed, Nov 20 4:00pm — 5:00pm

**Title:** Quantum Matter under the Microscope

**Abstract:** More than 30 years ago, Richard Feynman outlined his vision of a quantum simulator for carrying out complex calculations on physical problems. Today, his dream is a reality in laboratories around the world. This has become possible by using complex experimental setups of thousands of optical elements, which allow atoms to be cooled to Nanokelvin temperatures, where they almost come to rest. Recent experiments with quantum gas microscopes allow for an unprecedented view and control of such artificial quantum matter in new parameter regimes and with new probes. In our fermionic quantum gas microscope, we can detect both charge and spin degrees of freedom simultaneously, thereby gaining maximum information on the intricate interplay between the two in the paradigmatic Hubbard model. In my talk, I will show how we can reveal hidden magnetic order, directly image individual magnetic polarons or probe the fractionalisation of spin and charge in dynamical experiments. For the first time we thereby have access to directly probe non-local hidden correlation properties of quantum matter and to explore its real space resolved dynamical features also far from equilibrium. Furthermore, I will show how quantum gas microscopy can open new avenues for the for field of quantum chemistry when probing and controlling the formation of huge Rydberg macrodimers in optical lattices.

4:00pm Algebraic geometry seminar: Jason Starr - Stability of the tangent bundle, Gromov-Witten invariants, and rational points.

**Where:** Math Tower P-131**When:** Wed, Nov 20 4:00pm — 5:30pm

**Title:** Stability of the tangent bundle, Gromov-Witten invariants, and rational points.

**Speaker:** Jason Starr [Stony Brook University]

**Abstract:** Kobayashi-Lbke, prove that the tangent bundle of each Khler-Einstein Fano manifold is stable with respect to the first Chern class. Conjecturally, all complex Fano manifolds of Picard rank $1$ have stable tangent bundle, and Miles Reid proved this if the Fano index equals $1$. I will explain joint work with Zhiyu Tian (BICMR) and Runhong Zong (Nanjing U.) extending Reid's theorem to positive characteristic.

This implies existence and abundance of rational points for specializations of complex Fano manifolds over positive characteristic function fields except for finitely many "bad" characteristics bounded by Gromov-Witten invariants of the complex Fano manifold. This uses results of Voisin, Totaro, and Gounelas-Javanpeykar around "integral decomposition-of-the-diagonal", which I will review.

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This implies existence and abundance of rational points for specializations of complex Fano manifolds over positive characteristic function fields except for finitely many "bad" characteristics bounded by Gromov-Witten invariants of the complex Fano manifold. This uses results of Voisin, Totaro, and Gounelas-Javanpeykar around "integral decomposition-of-the-diagonal", which I will review.

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2:30pm Analysis Seminar: Dimitrios Ntalampekos - Rigidity Theorems for Circle Domains

**Where:** P-131**When:** Thu, Nov 21 2:30pm — 3:30pm

**Title:** Rigidity Theorems for Circle Domains

**Speaker:** Dimitrios Ntalampekos [Stony Brook University]

**Abstract:** This talk is based on joint work with Malik Younsi. A circle domain $\Omega$ in the Riemann sphere is a domain each of whose boundary components is either a circle or a point. A circle domain $\Omega$ is called conformally rigid if every conformal map from $\Omega$ onto another circle domain is the restriction of a M\"obius transformation. In this talk I will present some new rigidity theorems for circle domains satisfying a certain quasihyperbolic condition. As a corollary, John and H\"older circle domains are rigid. This provides new evidence for a conjecture of He and Schramm, relating rigidity and conformal removability.

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4:00pm Colloquium: Allan Sly - Phase transitions of random constraint satisfaction problems

**Where:** Math Tower P-131**When:** Thu, Nov 21 4:00pm — 5:00pm

**Title:** Phase transitions of random constraint satisfaction problems

**Speaker:** Allan Sly [Princeton University]

**Abstract:** Random constraint satisfaction problems encode many interesting questions in the study of random graphs such as the chromatic and independence numbers. Ideas from statistical physics provide a detailed description of phase transitions and properties of these models. We will discuss the one step replica symmetry breaking transition that many such models undergo.

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11:00am **SCGP:** Physics Seminar: Ilya Gruzberg (Ohio State)

**Where:** 313**When:** Fri, Nov 22 11:00am — 12:00pm

2:30pm Dynamical Systems Seminar: Arnaud Chritat - TBA

**Where:** Math Tower P-131**When:** Fri, Nov 22 2:30pm — 3:30pm

**Title:** TBA

**Speaker:** Arnaud Chritat [Insititut de Mathmatiques de Toulouse, Paul Sabatier University]

**Abstract:** TBA

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5:00pm **SCGP:** Provost's Lecture Series: Mats Larsson

**Where:** SCGP for Geometry and Physics Della Pietra Family Auditorium**When:** Fri, Nov 22 5:00pm — 7:00pm

Reception at 5:00pm

Lecture at 5:45pm

**Title:** Dirac and the Quantum Mechanics Nobel Prizes in 1933

**Abstract:** There has never been a longer peace-time gap in the award of the Nobel Prize in Physics than between 1930 and 1933. The gap did not depend on a lack of candidates, but the significant problems the Nobel Committee had to reconcile the new quantum mechanics with the requirement of the will of Alfred Nobel, who states that the prize should be awarded for a “discovery” or “invention.” Whereas the committee agreed that Werner Heisenberg and Erwin Schrödinger were the obvious candidates, the situation for Paul Dirac was totally different. The 1932 year’s prize had been postponed, and 1933 turned out to be a dramatic year. The discovery of the positive electron (positron), announced in March 1933, was a game changer, and finally raised Dirac to where he belonged: an equal to Heisenberg and Schrödinger. Based on the original documents from the Nobel archive, the lecture will describe Dirac’s dramatic road to a Nobel Prize in Physics.

Mats Larsson is Professor of Physics at Stockholm University and director of the AlbaNova University Center in Stockholm, which is a joint scientific center between the Royal Institute of Technology (KTH) and Stockholm University. He serves on the Nobel Committee for physics during 2016-2021. His research interests are laboratory astrophysics and its importance to astrochemistry, free electron laser research targeting small molecules, and, more recently, molecular chirality and chiral interaction. He chairs a Nobel Symposium on Chiral Matter during 2020, with Dmitri Kharzeev as one of the co-chairs.

Co-Sponsors: Department of Physics and Astronomy, Simons Center for Geometry and Physics

Reception at 5:00pm

Lecture at 5:45pm

Mats Larsson is Professor of Physics at Stockholm University and director of the AlbaNova University Center in Stockholm, which is a joint scientific center between the Royal Institute of Technology (KTH) and Stockholm University. He serves on the Nobel Committee for physics during 2016-2021. His research interests are laboratory astrophysics and its importance to astrochemistry, free electron laser research targeting small molecules, and, more recently, molecular chirality and chiral interaction. He chairs a Nobel Symposium on Chiral Matter during 2020, with Dmitri Kharzeev as one of the co-chairs.

Co-Sponsors: Department of Physics and Astronomy, Simons Center for Geometry and Physics