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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72"><div class=WordSection1><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>INSTITUTE FOR ADVANCED STUDY<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>School of Mathematics<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Princeton, NJ 08540<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><b><span style='font-size:14.0pt;font-family:"Times New Roman",serif'>Mathematics Seminars<o:p></o:p></span></b></p><p class=MsoNormal><b><span style='font-size:14.0pt;font-family:"Times New Roman",serif'>Week of March 12, 2018<o:p></o:p></span></b></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>--------------<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>To view mathematics in titles and abstracts, please click on the talk's link.<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>--------------<o:p></o:p></span></p><p class=MsoNormal><b><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></b></p><p class=MsoNormal><b><span style='font-family:"Times New Roman",serif'>Monday, March 12<o:p></o:p></span></b></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Computer Science/Discrete Mathematics Seminar I<o:p></o:p></span></p><p class=MsoNormal style='margin-left:1.0in'><b><span style='font-family:"Times New Roman",serif'>Note: Today's CSDM Seminar has merged with the Members' Seminar. Refer to the March 12, 2018 Members' Seminar for more information.<o:p></o:p></span></b></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: --<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><b><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></b></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Members' Seminar<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Topic: Math for underprivileged high school kids<o:p></o:p></span></p><p class=MsoNormal style='mso-margin-top-alt:0in;margin-right:0in;margin-bottom:5.0pt;margin-left:1.0in'><span style='font-family:"Times New Roman",serif'>We will hear from two passionate creators of successful mentoring programs in math for high school kids in educationally challenged environments. They will give back-to-back talks about their experiences and educational insights.<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: Rajiv Gandhi, Program on Algorithmic and Combinatorial Thinking (PACT)<o:p></o:p></span></p><p class=MsoNormal style='margin-left:.5in;text-indent:.5in'><span style='font-family:"Times New Roman",serif'>Dan Zaharopol, Bridge to Enter Advanced Mathematics (BEAM)<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: <b>2:00pm - 3:30pm</b>/Simonyi Hall 101<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Abstract Link: <a href="http://www.math.ias.edu/seminars/abstract?event=135289">http://www.math.ias.edu/seminars/abstract?event=135289</a><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Princeton/IAS Symplectic Geometry Seminar<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Topic: Higher ribbon graphs<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: David Nadler, University of California, Berkeley<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 4:00pm - 5:00pm/Simonyi Hall 101<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Abstract Link: <a href="http://www.math.ias.edu/seminars/abstract?event=134492">http://www.math.ias.edu/seminars/abstract?event=134492</a><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><b><span style='font-family:"Times New Roman",serif'>Tuesday, March 13<o:p></o:p></span></b></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Locally Symmetric Spaces Seminar<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Topic: To be announced<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: Farrell Brumley, Université Paris 13; Member, School of Mathematics<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 10:00am - 12:00pm/Dilworth Room<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Computer Science/Discrete Mathematics Seminar II<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Topic: Abstract Convexity, Weak Epsilon-Nets, and Radon Number<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: Shay Moran, University of California, San Diego; Member, School of Mathematics<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 10:30am - 12:30pm/Simonyi Hall 101<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Abstract Link: <a href="http://www.math.ias.edu/seminars/abstract?event=129064">http://www.math.ias.edu/seminars/abstract?event=129064</a><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Locally Symmetric Spaces Seminar<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Topic: To be announced<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: To be announced, To be announced<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 1:45pm - 4:15pm/Simonyi Hall 101<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Joint IAS/Princeton University Number Theory Seminar<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Topic: The Weyl law for algebraic tori<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: Ian Petrow, ETH Zurich<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 4:45pm - 5:45pm/Simonyi Hall 101<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Abstract Link: <a href="http://www.math.ias.edu/seminars/abstract?event=136088">http://www.math.ias.edu/seminars/abstract?event=136088</a><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><b><span style='font-family:"Times New Roman",serif'>Wednesday, March 14<o:p></o:p></span></b></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Mathematical Conversations<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Topic: Synthetic homotopy theory: going beyond set-level mathematics<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: Guillaume Brunerie, Member, School of Mathematics<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 6:00pm - 7:00pm/Dilworth Room<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Abstract Link: <a href="http://www.math.ias.edu/seminars/abstract?event=131269">http://www.math.ias.edu/seminars/abstract?event=131269</a><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal><b><span style='font-family:"Times New Roman",serif'>Thursday, March 15<o:p></o:p></span></b></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Working Group on Algebraic Number Theory<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: To Be Announced<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 2:00pm - 4:00pm/1201 Fine Hall, Princeton University<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'>Joint IAS/Princeton University Number Theory Seminar<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Topic: Fourier-Jacobi cycles and derivative of L-functions<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Speaker: Yifeng Liu, Northwestern University<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Time/Room: 4:30pm - 5:30pm/Fine Hall 214, Princeton University<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Abstract Link: <a href="http://www.math.ias.edu/seminars/abstract?event=131139">http://www.math.ias.edu/seminars/abstract?event=131139</a><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'><br><br>2 Math for underprivileged high school kids <br> Rajiv Gandhi, Dan Zaharopol <o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>We will hear from two passionate creators of successful mentoring programs in math for high school kids in educationally challenged environments. They will give back-to-back talks about their experiences and educational insights. <br> <o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Rajiv Gandhi <a href="https://algorithmicthinking.org/">https://algorithmicthinking.org/</a>: "From Potential to Promise - Developing Scholars, one Eureka moment at a time."<br> In this talk, I will tell the story of our work with some truly remarkable undergraduate students at Rutgers-Camden, who despite many odds have achieved success that is unprecedented for the Camden campus. I will discuss the various challenges that we faced and some ideas that have worked very well (and some that have not) for us. We have been applying some of these ideas in our recent work with high school students and students at other institutions.<br> <br>Dan Zaharopol, <a href="https://www.beammath.org/staff/">https://www.beammath.org/staff/</a>: "Developing Warm Mathematical Relationships With Students from Diverse Backgrounds."<br> Mathematics is supposed to be a universal language, beautiful, expressive of human thought and a vehicle for the study of truth. Then why is it not equally accessible to everyone? Students from low-income backgrounds and underrepresented minorities rarely access deeper mathematical study, and so math and math-related careers can seem locked away from them.<br> <br> Of course, it can be intimidating to reach out to groups where you’re not familiar with their mathematical preparation, their culture, or the challenges they face in their lives. That's exactly the situation I was in five years ago when I started Bridge to Enter Advanced Mathematics (BEAM). I'll talk about the lessons we've learned about how we tailored our programs to reach out to new communities; how to adjust problems and topics for students who might have less background; and how you can help make mathematics more accessible without sacrificing content.<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=135289">http://www.math.ias.edu/seminars/abstract?event=135289</a><br><br>3 Higher ribbon graphs <br> David Nadler <o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Ribbon graphs capture the topology of open Riemann surfaces in an elementary combinatorial form. One can hope this is the first step toward a general theory for open symplectic manifolds such as Stein manifolds. We will discuss progress toward such a higher dimensional theory (joint work with Alvarez-Gavela, Eliashberg, and Starkston), and in particular, what kind of topological spaces might generalize graphs. We will also discuss applications to the calculation of symplectic invariants.<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=134492">http://www.math.ias.edu/seminars/abstract?event=134492</a><br><br>4 Abstract Convexity, Weak Epsilon-Nets, and Radon Number <br> Shay Moran <o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>Let F be a family of subsets over a domain X that is closed under taking intersections. Such structures are abundant in various fields of mathematics such as topology, algebra, analysis, and more. In this talk we will view these objects through the lens of <i>convexity</i>.<br> <br>We will focus on an abstraction of the notion of <i>weak epsilon nets</i>:<br>given a distribution on the domain X and epsilon>0,<br>a weak epsilon net for F is a set of points that intersects any set in F with measure at least epsilon.<br> <br>The family of convex subsets of R^d have weak epsilon-nets of size that is independent on the domain distribution; this was shown by [Barany et al '90], [Alon et al '92], and [Chazelle et al '93].<br> <br>The main result I'll present shows that the <i>Radon number</i> (an abstraction of Radon's Theorem for convex sets) characterizes the existence of weak nets for arbitrary intersection-closed families that satisfy a mild separability condition. Our bounds on the size are weaker than what is known for euclidean convex sets but apply more generally.<br> <br>Based on a joint work with Amir Yehudayoff.<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=129064">http://www.math.ias.edu/seminars/abstract?event=129064</a><br><br>5 The Weyl law for algebraic tori <br> Ian Petrow <o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>A basic but difficult question in the analytic theory of automorphic forms is: given a reductive group G and a representation r of its L-group, how many automorphic representations of bounded analytic conductor are there? In this talk I will present an answer to this question in the case that G is a torus over a number field.<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=136088">http://www.math.ias.edu/seminars/abstract?event=136088</a><br><br>6 Synthetic homotopy theory: going beyond set-level mathematics <br> Guillaume Brunerie <o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>In addition to offering a formal system for doing ordinary (or "set-level") mathematics, Vladimir Voevodsky's Univalent Foundations also suggest a new way of studying homotopy theory, called "synthetic homotopy theory".<br> <br>I will show how synthetic homotopy theory emerges from the foundations of mathematics, and contrast it with set-level homotopy theory.<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:5.0pt'><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=131269">http://www.math.ias.edu/seminars/abstract?event=131269</a><br><br>7 Fourier-Jacobi cycles and derivative of L-functions <br> Yifeng Liu <o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'>In this talk, we construct the so-called Fourier-Jacobi cycles on unitary Shimura varieties. The height pairing of these cycles can be regarded as the arithmetic analogue of classical Fourier-Jacobi periods for the pair of unitary groups of equal rank. We will propose a conjectural formula relating such height pairing and derivative of certain Rankin-Selberg L-function of symplectic type. We will also explain an approach toward this conjecture using arithmetic relative trace formula.<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=131139">http://www.math.ias.edu/seminars/abstract?event=131139</a><br><br>IAS Math Seminars Home Page:<br><a href="http://www.math.ias.edu/seminars">http://www.math.ias.edu/seminars</a><o:p></o:p></span></p></div></body></html>