# Techmath - Math Seminars in Israel

*Announcement:*

**MATH RESEARCH PROJECTS**

**Technion, September 22-26, 2019**

The Mathematics faculty at the Technion is inviting motivated undergraduate students (finishing their 2^{nd} and 3^{rd} year*) to experience research level mathematics in a week of projects. The projects will be mentored by professors and postdocs from the Faculty of Mathematics. Each group will consist of 2-4 students working on the same research topic. In addition, the program includes social gatherings with the faculty members. Housing, meals, and a stipend will be provided.

**For more information click here**

**פרויקטי מחקר במתמטיקה**

** טכניון , 22-26 בספטמברת 2019**

הפקולטה למתמטיקה בטכניון מזמינה סטודנטים לתואר ראשון (המסיימים את השנה השנייה או השלישית של התואר*) לחוויית מחקר מתמטי מתקדם בשבוע של פרויקטים. הפרויקטים יונחו על-ידי פרופסורים, פוסטדוקים וסטודנטים בתארים מתקדמים מהפקולטה למתמטיקה.

כל קבוצה תכיל 2-4 סטודנטים שיחקרו נושא משותף. בנוסף לפרויקטים התוכנית תכלול הרצאות מתמטיות ואירועים חברתיים יחד עם סגל הפקולטה. לינה, ארוחות ומלגת קיום יסופקו על-ידי התכנית.

*Abstract:*

In this talk, the speaker aims to present his current investigation of the ``Moebius-invariant Willmore flow'', which is a conformally invariant modification of the classical Willmore-flow, i.e. of the gradient flow of the Willmore functional. Since the Willmore functional - applied to immersions f of some fixed closed surface into Euclidean space - can be defined as the integral over the squared modulus of the trace-free part of the second fundamental form of f plus 2 pi times the Euler-characteristic of the underlying surface, it can be geometrically interpreted as a global conformal invariant which measures the deviation of immersions from being totally umbilic. In 2001--2004, Kuwert and Schaetzle proved in 3 consecutive articles that the classical Willmore flow moving immersions of some fixed 2-sphere into Euclidean space exists globally and actually converges smoothly to a round sphere, if the initial Willmore energy is smaller than 8 pi. Only this year, the speaker invented a new ``descent-technique'' in order to prove that the Moebius-invariant Willmore flow moving immersions of a fixed torus into the 3-sphere exists globally if the start immersion maps this torus onto a Hopf-torus in the 3-sphere, and that it actually converges smoothly to some conformal image of the Clifford-torus in the 3-sphere, if the initial Willmore energy is smaller than a certain number between 8 pi and 9 pi. In order to precisely compute this concrete threshold, the speaker reduced the Euler-Lagrange equation of the Willmore functional for Hopf-tori to a non-linear ODE of first order which can be integrated in terms of elliptic functions - an adaption of Einstein's computation of the annual shift of the perihelion of a relativistic planetary orbit - and then continued to apply classical methods and formulas of Arithmetic Geometry and Analytic Number Theory.

*Abstract:*

TBA

*Announcement:*

You are invited to a:

** Special Lecture Series by**

**Prof. Darren Crowdy**

**Imperial College London**

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, December 2, 2019 at 15:30

**2nd lecture**: Wednesday, December 4, 2019 at 15:30

**3rd lecture**: Thursday, December 5, 2019 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Announcement:*

You are invited to a:

** Special Lecture Series by**

**Prof. Darren Crowdy**

**Imperial College London**

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, December 2, 2019 at 15:30

**2nd lecture**: Wednesday, December 4, 2019 at 15:30

**3rd lecture**: Thursday, December 5, 2019 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Announcement:*

You are invited to a:

** Special Lecture Series by**

**Prof. Darren Crowdy**

**Imperial College London**

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, December 2, 2019 at 15:30

**2nd lecture**: Wednesday, December 4, 2019 at 15:30

**3rd lecture**: Thursday, December 5, 2019 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Abstract:*

You are invited to a:

** Distinguished Lecture Series by**

**Prof. Sergei Tabachnikov**

**(Pennsylvania State University)**

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, January 6, 2020 at 15:30

**2nd lecture**: Wednesday, January 8, 2020 at 15:30

**3rd lecture**: Thursday, January 9, 2020 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Announcement:*

You are invited to a:

** Distinguished Lecture Series by**

**Prof. Sergei Tabachnikov**

**Pennsylvania State University **

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, January 6, 2020 at 15:30

**2nd lecture**: Wednesday, January 8, 2020 at 15:30

**3rd lecture**: Thursday, January 9, 2020 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Announcement:*

You are invited to a:

** Distinguished Lecture Series by**

**Prof. Sergei Tabachnikov**

**Pennsylvania State University **

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, January 6, 2020 at 15:30

**2nd lecture**: Wednesday, January 8, 2020 at 15:30

**3rd lecture**: Thursday, January 9, 2020 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Announcement:*

You are invited to a:

** Distinguished Lecture Series by**

**Prof. David Jerison (MIT)**

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, January 20, 2020 at 15:30

**2nd lecture**: Wednesday, January 22, 2020 at 15:30

**3rd lecture**: Thursday, January 23, 2020 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Announcement:*

You are invited to a:

** Distinguished Lecture Series by**

**Prof. David Jerison (MIT)**

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, January 20, 2020 at 15:30

**2nd lecture**: Wednesday, January 22, 2020 at 15:30

**3rd lecture**: Thursday, January 23, 2020 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.

*Announcement:*

You are invited to a:

** Distinguished Lecture Series by**

**Prof. David Jerison (MIT)**

**Titles and abstracts**: *TBA*

**1st lecture**: Monday, January 20, 2020 at 15:30

**2nd lecture**: Wednesday, January 22, 2020 at 15:30

**3rd lecture**: Thursday, January 23, 2020 at 15:30

All lectures will be in Amado 232.

Light refreshments will be given in the faculty lounge on the 8th floor.