<html xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=utf-8"><meta name=Generator content="Microsoft Word 15 (filtered medium)"><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
{font-family:-webkit-standard;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0cm;
font-size:11.0pt;
font-family:"Calibri",sans-serif;}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:blue;
text-decoration:underline;}
.MsoChpDefault
{mso-style-type:export-only;}
@page WordSection1
{size:612.0pt 792.0pt;
margin:70.85pt 2.0cm 2.0cm 2.0cm;}
div.WordSection1
{page:WordSection1;}
--></style></head><body lang=IT link=blue vlink="#954F72" style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal><span style='color:black'>Dear colleagues,<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>it is our pleasure to invite you to the following online seminar<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>Speaker: <b>Giuseppe Savaré </b>(Università Bocconi - Milano)<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'>Title: Hellinger/Wasserstein contraction and regularization properties of diffusion semigroups.<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'>Time: Thursday, <b>April 22, </b>4PM</span><span style='font-size:12.0pt;font-family:"-webkit-standard",serif;color:black'> </span><span style='color:black'> (Italian time)<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'><a href="https://us02web.zoom.us/j/89543157111?pwd=NnAyblhVNkppeERRRFd1VGYwTkMyUT09" target="_blank">Zoom Link</a> (ID and passcode below if necessary)<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>The seminar is a satellite activity of the PhD course "Introduction to coercive inequalities with applications in analysis and probability theory" (professor Boguslaw Zegarlinski - Imperial College, London)<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>Abstract<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'>We illustrate a duality approach to contraction and regularizing properties of diffusion semigroups satisfying a suitable Bakry-Emery condition that emphasize an interplay between Hellinger-Kakutani, Kantorovich-Wasserstein, and Hellinger-Kantorvich distances. In the case of the Kantorovich-Wasserstein distance, contraction properties are also related to the gradient flow structure of the evolution driven by the logarithmic entropy and provide a nice geometrical interpretation of Log-Sobolev and Talagrand inequalities. <o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>Best regards,<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>Raffaella Carbone<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'>Federico Girotti<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>----------<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'>Join Zoom Meeting<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><a href="https://us02web.zoom.us/j/89543157111?pwd=NnAyblhVNkppeERRRFd1VGYwTkMyUT09" target="_blank">https://us02web.zoom.us/j/89543157111?pwd=NnAyblhVNkppeERRRFd1VGYwTkMyUT09</a><o:p></o:p></span></p><p class=MsoNormal><span style='color:black'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:black'>Meeting ID: 895 4315 7111<o:p></o:p></span></p><p class=MsoNormal><span style='color:black'>Passcode: 029655</span></p><p class=MsoNormal><o:p> </o:p></p></div></body></html>