Mon, 16 Oct 2017
12:45
L3

A geometric recipe for twisted superpotentials

Lotte Hollands
(Herriot-Watt University, Edinburgh)
Abstract

Nekrasov, Rosly and Shatashvili observed that the generating function of a certain space of SL(2) opers has a physical interpretation as the effective twisted superpotential for a four-dimensional N=2 quantum field theory. In this talk we describe the ingredients needed to generalise this observation to higher rank. Important ingredients are spectral networks generated by Strebel differentials and the abelianization method. As an example we find the twisted superpotential for the E6 Minahan-Nemeschansky theory. 
 

 
 
Mon, 09 Oct 2017
12:45
L3

Arithmetic of attractive K3 surfaces and black holes

Shehryar Sikander
(ICTP Trieste)
Abstract

A K3 surface is called attractive if and only if its Picard number is 20: The maximal possible. Attractive K3 surfaces possess complex multiplication. This property endows attractive K3 surfaces with rich and well understood arithmetic. For example, the associated Galois representation turns out to be a product of well known two dimensional representations and the  Hasse-Weil L-function turns out to be a product of well known L-functions. On the other hand, attractive K3 surfaces show up as solutions of the attractor equations in type IIB string theory compactified on the product of a K3 surface with an elliptic curve. As such, these surfaces dictate the near horizon geometry of a charged black hole in this theory. We will try to see which arithmetic properties of the attractive K3 surfaces lend a stringy interpretation and use them to shed light on physical properties of the charged black hole. 
 

 
 
 
Thu, 30 Nov 2017
16:00
L6

A Galois counting problem

Sam Chow
(York)
Abstract

We count monic quartic polynomials with prescribed Galois group, by box height. Among other things, we obtain the order of magnitude for  quartics, and show that non-quartics are dominated by reducibles. Tools include the geometry of numbers, diophantine approximation, the invariant theory of binary forms, and the determinant method. Joint with Rainer Dietmann.

Search for nonstandard neutrino interactions with IceCube DeepCore
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Neutrino Interferometry for High-Precision Tests of Lorentz Symmetry
with IceCube
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Cherenkov Telescope Array Contributions to the 35th International Cosmic Ray Conference (ICRC2017)
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Wierzcholska, A Wiesand, S Wijers, R Wilcox, P Wilhelm, A Wilkinson, M Will, M Williams, D Winter, M Wojcik, P Wolf, D Wood, M Wörnlein, A Wu, T Yadav, K Yaguna, C Yamamoto, T Yamamoto, H Yamane, N Yamazaki, R Yanagita, S Yang, L Yelos, D Yoshida, T Yoshida, M Yoshiike, S Yoshikoshi, T Yu, P Zaborov, D Zacharias, M Zaharijas, G Zajczyk, A Zampieri, L Zandanel, F Zanin, R Sanchez, R Zaric, D Zavrtanik, M Zavrtanik, D Zdziarski, A Zech, A Zechlin, H Zhdanov, V Ziegler, A Ziemann, J Ziętara, K Zink, A Ziółkowski, J Zitelli, V Zoli, A Zorn, J (11 Sep 2017)
Thu, 09 Nov 2017
16:00
L6

Probabilistic arithmetic geometry

Daniel Loughran
(Manchester)
Abstract

A famous theorem due to Erdős and Kac states that the number of prime divisors of an integer N behaves like a normal distribution. In this talk we consider analogues of this result in the setting of arithmetic geometry, and obtain probability distributions for questions related to local solubility of algebraic varieties. This is joint work with Efthymios Sofos.

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