REMINDER - 2 MATHS SEMINARS TODAY

[ICTP Math Section]

_*at 10:00*__*(CET)*_

BASIC NOTIONS SEMINAR on Superlinear Structures and Conformal Geometry - 
https://indico.ictp.it/event/10383/

Venue (for in-person attendees):
Fibonacci Lecture Room (Galileo Guest House) and Zoom - 
https://zoom.us/meeting/register/tJ0qdO6tpjMpG9DHUCUvlHGq70pHQPYCV96g


Speaker: Prof. Dr. Rainer Weissauer (Universität Heidelberg, 
Mathematisches Institut)

Title: Superlinear Structures and Conformal Geometry


Abstract: Superlinear structures, or more precisely symmetric monoidal 
tensor structures, implicitly appeared in mathematics and physics long 
time ago, among others having roots dating back to Graßmann calculus in 
mathematics and the study of Fermi statistics and the Dirac exclusion 
principle in physics, later emphasised in supergravity and string theory.
On the other hand, conformal geometry also dates back to the 19th 
century. It emerged in physics through the study of conformal invariant 
theories. Seeking unified structures in regard of the Coleman-Mandula 
no-go-theorem, this was brought together with supersymmetry and lead to 
the concepts of superconformal symmetry groups and superconformal field 
theories.
In this lecture we first give an overview of the underlying basic 
mathematical notions of superlinearity and conformal geometry. Then we 
draw some mathematical conclusions, mainly from a representation 
theoretic perspective. Finally we discuss certain results from 
representation theory, that could be possibly relevant for some new 
relationship between the standard model and superconformal field theories.



******

_*AT 14:00 (CET)*_

_ICTP ANALYSIS SEMINAR_- /https://indico.ictp.it/event/10387/


Venue:  Leonardo Building - Luigi Stasi Seminar Room and Zoom ans Zoom- 
https://zoom.us/meeting/register/tJAocOuuqjspHtW53m3OerHXdGhkhDtous5K#/registration


Speaker: Diego Moreira (Universidade Federal do Ceará, Fortaleza, Brazil)


Title: Up to the Boundary Gradient Estimates in Bernoulli Type Free 
Boundary Problems


Abstract: In this talk, we discuss recent advances on up to the boundary 
gradient estimates for viscosity solutions of free boundary problems 
governed by fully nonlinear and quasilinear equations with unbounded 
coecients. We present the new Inhomogeneous Pucci Barriers as new 
elements for the proof. If time permits, we discuss some of the main 
steps in the proof, namely, the trace estimate of the solution on the 
points of the xed boundary that projects nontangentially over the free 
boundary.

These methods are inspired by some ideas of Carlos Kenig in Harmonic 
Analysis.