Math Lecture

Colored Links and Topological Vortex Structures

May 23 (Fri) at 16:00 - 17:45, 2025

Toni Annala (Dickson Instructor, Department of Mathematics, The University of Chicago, USA)

Topological vortices are intriguing defects that emerge in a wide range of physical systems, including Bose–Einstein condensates and liquid crystals. In this talk, I will describe how the global structure of such vortices can be captured pictorially using colored link diagrams—or more generally, colored embedded graphs. Through a variety of examples, I will illustrate how this framework can be used to classify and analyze vortex configurations. In particular, I will highlight conditions under which these structures are topologically protected, in the sense that they cannot decay into collections of disjoint loops without destroying the underlying phase of the system. These investigations naturally give rise to new topological invariants of colored links, which can be used to distinguish and classify such vortex structures.

Venue: Seminar Room #359

Event Official Language: English

Introduction to Public-Key Cryptography (10th)

April 9 (Tue) at 13:30 - 15:30, 2019

Eren Mehmet Kıral (Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) / Visiting Scientist (JSPS Research Fellow), Faculty of Science and Technology, Sophia University)

Venue: Seminar Room #160

Event Official Language: English

Introduction to Public-Key Cryptography (9th)

March 6 (Wed) at 13:30 - 15:00, 2019

Eren Mehmet Kıral (Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) / Visiting Scientist (JSPS Research Fellow), Faculty of Science and Technology, Sophia University)

Venue: Seminar Room #160

Event Official Language: English

Theory of Operator Algebras (9th)

March 5 (Tue) at 15:30 - 16:30, 2019

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Title: An introduction to operator algebras Abstract: Operators are linear maps from a (usually an infinite dimensional) linear space (most frequently the Hilbert space) to itself, which is like matrices of infinite degree. Operators form an algebra by obvious addition and multiplication. Operators appear in most of the fields in mathematics, in algebra, in geometry, in analysis, ... Some of the key words at the beginning of these lectures are "spectral theory" "operator algebras" "Tomita-Takesaki theory". These lectures are for non-professional people.

Venue: Seminar Room #160

Event Official Language: Japanese

Theory of Operator Algebras (8th)

March 5 (Tue) at 14:00 - 15:00, 2019

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Title: An introduction to operator algebras Abstract: Operators are linear maps from a (usually an infinite dimensional) linear space (most frequently the Hilbert space) to itself, which is like matrices of infinite degree. Operators form an algebra by obvious addition and multiplication. Operators appear in most of the fields in mathematics, in algebra, in geometry, in analysis, ... Some of the key words at the beginning of these lectures are "spectral theory" "operator algebras" "Tomita-Takesaki theory". These lectures are for non-professional people.

Venue: Seminar Room #160

Event Official Language: Japanese

Introduction to Public-Key Cryptography (8th)

February 7 (Thu) at 13:30 - 15:00, 2019

Eren Mehmet Kıral (Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) / Visiting Scientist (JSPS Research Fellow), Faculty of Science and Technology, Sophia University)

Venue: Seminar Room #160

Event Official Language: English

Introduction to Public-Key Cryptography (7th)

January 18 (Fri) at 15:00 - 17:00, 2019

Eren Mehmet Kıral (Visiting Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) / Visiting Scientist (JSPS Research Fellow), Faculty of Science and Technology, Sophia University)

Venue: Seminar Room #160

Event Official Language: English

Theory of Operator Algebras (7th)

January 10 (Thu) at 10:30 - 12:00, 2019

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Title: An introduction to operator algebras Abstract: Operators are linear maps from a (usually an infinite dimensional) linear space (most frequently the Hilbert space) to itself, which is like matrices of infinite degree. Operators form an algebra by obvious addition and multiplication. Operators appear in most of the fields in mathematics, in algebra, in geometry, in analysis, ... Some of the key words at the beginning of these lectures are "spectral theory" "operator algebras" "Tomita-Takesaki theory". These lectures are for non-professional people.

Venue: Seminar Room #160

Event Official Language: Japanese

Theory of Operator Algebras (6th)

December 20 (Thu) at 15:30 - 17:00, 2018

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Title: An introduction to operator algebras Abstract: Operators are linear maps from a (usually an infinite dimensional) linear space (most frequently the Hilbert space) to itself, which is like matrices of infinite degree. Operators form an algebra by obvious addition and multiplication. Operators appear in most of the fields in mathematics, in algebra, in geometry, in analysis, ... Some of the key words at the beginning of these lectures are "spectral theory" "operator algebras" "Tomita-Takesaki theory". These lectures are for non-professional people.

Venue: Seminar Room #160

Event Official Language: Japanese

Theory of Operator Algebras (5th)

November 8 (Thu) at 13:30 - 15:00, 2018

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Venue: Seminar Room #160

Event Official Language: Japanese

Theory of Operator Algebras (4th)

October 18 (Thu) at 15:30 - 17:00, 2018

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Venue: Seminar Room #160

Event Official Language: Japanese

Theory of Operator Algebras (3rd)

July 12 (Thu) at 15:30 - 17:00, 2018

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Venue: Seminar Room #160

Event Official Language: English

Introduction to Public-Key Cryptography (6th)

July 11 (Wed) at 10:30 - 12:00, 2018

Eren Mehmet Kıral (Visiting Researcher, RIKEN Center for Advanced Intelligence Project (AIP))

Venue: Seminar Room #160

Event Official Language: English

Computational Algebraic Statistics and its Applications

June 26 (Tue) at 10:00 - 16:30, 2018

Satoshi Aoki (Professor, Department of Mathematics, Kobe University)

Lecture 1 (10:00-11:30) An introduction of Groebner bases of polynomial rings Lecture 2 (13:00-14:30) Groebner bases theory in design of experiments Lecture 3 (15:00-16:30) Groebner bases theory in sampling problems of contingency tables This introductory lecture is about statistical theory from the point of view of the computational algebraic statistics, in particular the applications of Groebner bases. The statistical theory is a fundamental tool in natural science, social science and humanities, and the Groebner basis is a topic related to multi-variable polynomials. The Lecture will start from an introduction to the Groebner basis which would have wide applications in mathematics, physics, biology, chemistry, engineering, information science and computer science. Therefore, we welcome scientists in any field who are interested in this subject. The event official language is Japanese (slides and writing are in English).

Venue: #535-537, 5F, Main Research Building

Event Official Language: Japanese

Theory of Operator Algebras (2nd)

June 21 (Thu) at 15:30 - 17:00, 2018

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Please note that the date and time of the 2nd lecture has been changed from May 21 10:30 to June 21 15:30.

Venue: Seminar Room #160

Event Official Language: English

Introduction to Public-Key Cryptography (5th)

June 21 (Thu) at 10:30 - 12:00, 2018

Eren Mehmet Kıral (Visiting Researcher, RIKEN Center for Advanced Intelligence Project (AIP))

Venue: Seminar Room #160

Event Official Language: English

Introduction to Public-Key Cryptography Lecture 4: RZSA encryption

June 7 (Thu) at 10:30 - 12:00, 2018

Eren Mehmet Kıral (Visiting Researcher, RIKEN Center for Advanced Intelligence Project (AIP))

Venue: Seminar Room #160

Event Official Language: English

Introduction to Public-Key Cryptography (3rd)

May 24 (Thu) at 10:30 - 12:00, 2018

Eren Mehmet Kıral (Visiting Researcher, RIKEN Center for Advanced Intelligence Project (AIP))

This is a series of lectures "Introduction to Public-Key Cryptography" for non-experts. It will be held twice a month (every other Thursday, about 15 times in total).

Venue: Seminar Room #160

Event Official Language: English

Theory of Operator Algebras (1st)

May 10 (Thu) at 15:30 - 16:30, 2018

Yosuke Kubota (Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS))

Venue: Seminar Room #160

Event Official Language: English

Introduction to Public-Key Cryptography (2nd)

May 10 (Thu) at 10:30 - 12:00, 2018

Eren Mehmet Kıral (Visiting Researcher, RIKEN Center for Advanced Intelligence Project (AIP))

This is a series of lectures "Introduction to Public-Key Cryptography" for non-experts. It will be held twice a month (every other Thursday, about 15 times in total).

Venue: Seminar Room #160

Event Official Language: English