<div dir="ltr">Merhaba,<div><br></div><div>Bu hafta Feza Gürsey, IPM ve HRI enstitüleri ortaklığında düzenlediğimiz sayılar teorisi seminerimizde konuşmacı King's College London'dan Hamed Mousavi. Konuşmanın ve zoom linkinin detaylarını aşağıda bulabilirsiniz.</div><div><div><br class="gmail-Apple-interchange-newline">iyi haftalar,</div><div>Özlem</div></div><div><br></div><div><div><b>Title: Pointwise Ergodic Theorem Along Primes</b><br></div><div><br><span dir="ltr" style="margin-top:0px;margin-bottom:0px"><b>Abstract: </b></span><span style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px">In this talk, we will be exploring the pointwise convergence of ergodic averages along</span><br></div>the primes. Our discussion will begin by explaining the contributions of Birkhoff, as<br>well as the efforts made by Bourgain and Wierdl in this direction, which was concluded<br>by Mirek’s proof of pointwise ergodic convergence for primes. Additionally, we will be<br>presenting some of our own results on structure theorems in the endpoint case Lplogq,<br>along with a pointwise ergodic theorem in the Gaussian setting. Moving forward, we will<br>briefly mention the breakthrough result made by Krause-Mirek-Tao on bilinear ergodic<br>averages. This will be departing point in our current project on the pointwise ergodic<br>theorem for bilinear averages along prime numbers. If time allows, we will provide a toy<br>model example in linear theory, which will demonstrate a typical method used in this<br>area of study.<br></div><div><br></div><div><div><b>Date and Time: </b>Wednesday, March 6, 19:30 Allahabad, 17:30 Tahran, 17:00 Istanbul</div><div><div><div><div><b>Zoom link:</b> <a href="https://kocun.zoom.us/j/99715471656" rel="nofollow" target="_blank">https://kocun.zoom.us/j/99715471656</a></div><div><b>Meeting ID: </b><span style="color:rgb(35,35,51);font-family:"Almaden Sans",Helvetica,Arial;letter-spacing:0.42px">997 1547 1656</span></div><div><span style="color:rgb(35,35,51);font-family:"Almaden Sans",Helvetica,Arial;letter-spacing:0.42px"><b>passcode:</b> </span>848084</div></div></div></div></div><div><br></div><div><br><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">---------- Forwarded message ---------<br>From: <strong class="gmail_sendername" dir="auto">FGC-HRI-IPM Number Theory Seminars</strong> <span dir="auto"><<a href="mailto:fgc-hri-ipm-numbertheory@googlegroups.com">fgc-hri-ipm-numbertheory@googlegroups.com</a>></span><br>Date: Mon, Mar 4, 2024 at 9:07 AM<br>Subject: FGC-HRI-IPM Number Theory Seminars[Hamed Mousavi, March 6]<br>To: FGC-HRI-IPM Number Theory Seminars <<a href="mailto:fgc-hri-ipm-numbertheory@googlegroups.com">fgc-hri-ipm-numbertheory@googlegroups.com</a>><br></div><br><br> Dear all,<div><br></div><div>Our next talk is on March 6, Wednesday by Hamed Mousavi from <span style="color:rgb(34,34,34);font-family:Arial,sans-serif;font-size:15px">King's College London</span></div><div>Please find the details of his talk below.</div><div><br></div><div><div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small"><b>Title: Pointwise Ergodic Theorem Along Primes</b><br></div><div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small"><br><span dir="ltr" style="margin-top:0px;margin-bottom:0px"><b>Abstract: </b></span><span style="color:rgba(0,0,0,0.87);font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:14px">In this talk, we will be exploring the pointwise convergence of ergodic averages along</span><br></div>the primes. Our discussion will begin by explaining the contributions of Birkhoff, as<br>well as the efforts made by Bourgain and Wierdl in this direction, which was concluded<br>by Mirek’s proof of pointwise ergodic convergence for primes. Additionally, we will be<br>presenting some of our own results on structure theorems in the endpoint case Lplogq,<br>along with a pointwise ergodic theorem in the Gaussian setting. Moving forward, we will<br>briefly mention the breakthrough result made by Krause-Mirek-Tao on bilinear ergodic<br>averages. This will be departing point in our current project on the pointwise ergodic<br>theorem for bilinear averages along prime numbers. If time allows, we will provide a toy<br>model example in linear theory, which will demonstrate a typical method used in this<br>area of study.<div style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small"><div><div><div style="font-size:14px"><br></div></div></div></div></div><div><br></div><div><div><b>Date and Time: </b>Wednesday, March 6, 19:30 Allahabad, 17:30 Tahran, 17:00 Istanbul</div><div><div><div><div><b>Zoom link:</b> <a href="https://kocun.zoom.us/j/99715471656" rel="nofollow" style="color:rgb(17,85,204)" target="_blank">https://kocun.zoom.us/j/99715471656</a></div><div><b>Meeting ID: </b><span style="color:rgb(35,35,51);font-family:"Almaden Sans",Helvetica,Arial;letter-spacing:0.42px">997 1547 1656</span></div><div><span style="color:rgb(35,35,51);font-family:"Almaden Sans",Helvetica,Arial;letter-spacing:0.42px"><b>passcode:</b> </span>848084</div></div></div></div></div><div><br></div><div><div><div><div><b>ICS-File: </b><a href="https://researchseminars.org/seminar/FGC-IPM/ics" rel="nofollow" style="color:rgb(17,85,204)" target="_blank">https://researchseminars.org/seminar/FGC-IPM/ics</a></div></div><div><br style="color:rgb(34,34,34);font-family:Arial,Helvetica,sans-serif;font-size:small"></div></div></div>
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