## UPCOMING

Representation theory of Vertex algebras

**Speaker:**

*Jethro Van Ekeren*- UFF

**Representation Theory**

**Abstract: **During this semester we will have a weekly seminar on representation theory of vertex algebras, as a preparation for the trimester program in 2020. We will cover among others the following articles

• Y. Zhu. Modular invariance of characters of vertex operator algebras. J. Amer. Math. Soc., 9(1):237–302, 1996• I. Frenkel and Y. Zhu. Vertex operator algebras associated to representations of affine and Virasoro algebras. Duke Mathematical Journal, 66(1):1 [continue...]

Reciprocidade QuadrĂˇtica e CĂşbica

**Speaker:**

*Matheus Natanael Cassiano*- IMPA

**Graduate Studentsâ€™ Colloquium**

**Abstract: **Dados dois números inteiros $a$ e $b$, podemos questionar quando que $a\equiv x^2 \mod b$ para algum $x$ inteiro. Nesse seminário demonstraremos a Lei da Reciprocidade Quadrática (Gauss 1796) que diz basicamente que dados $p$ e $q$ primos ímpares distintos tem-se que

$\left(\frac{p}{q}\right)\left(\frac{q}{p}\right)=(-1)^{\frac{p-1}{2} \frac{q-1}{2} [continue...]

Higher Willmore energies, Q-curvatures, and related global geometry problems.

**Speaker:**

*Rod Gover*- University of Auckland

**Differential Geometry**

**Abstract: **

The Willmore energy and its functional gradient (under variations of embedding) have recently been the subject of recent interest in both geometric analysis and physics, in part because of their link to conformal geometry. Considering a singular Yamabe problem on manifolds with boundary shows that these these surface invariants are the lowest dimensional examples in a family of conformal invariants for hypersurfaces in any dimension. The same construction and var [continue...]

The contribution of Jean FranĂ§ois Le Gall to Brownian Geometry

**Speaker:**

*Hubert Lacoin*- IMPA

**Probability and Combinatorics**

**Abstract: **J.F. Le Gall has been awarded the Wolff prize in 2019 "for his profound and elegant works on stochastic processes". In this talk we wish to introduce to a large audience to Le Gall's contribution to the subject of Random Geometry (his main object of focus in the last 15 years). Our starting point is the following question:

"Is there a good notion of random sphere ?"

or more precisely:

"Is there a natural way to choose at r [continue...]