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1. About the lecturer 2. Braids in life and science 3. Braids in mathematics Dr Fedor Duzhin Division of Mathematica l Sciences Braids 1

Dr Fedor Duzhin Division of Mathematical Sciences

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Braids. Dr Fedor Duzhin Division of Mathematical Sciences. About the lecturer Braids in life and science Braids in mathematics. Meet the lecturer. First name: Fedor Surname: Duzhin. Graduated in 2000 Moscow University. Born in Moscow 1978. PhD in 2005 KTH, Stockholm. - PowerPoint PPT Presentation

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Page 1: Dr Fedor Duzhin Division of Mathematical Sciences

1

1. About the lecturer

2. Braids in life and science

3. Braids in mathematics

Dr Fedor Duzhin

Division of Mathematical

Sciences

Braids

Page 2: Dr Fedor Duzhin Division of Mathematical Sciences

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Meet the lecturerFirst name: FedorSurname: Duzhin

Born in Moscow 1978

Lived in Pereslavl(small Russian town)

Graduated in 2000Moscow University

PhD in 2005KTH, Stockholm

Page 3: Dr Fedor Duzhin Division of Mathematical Sciences

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Braids in life and science

Page 4: Dr Fedor Duzhin Division of Mathematical Sciences

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Braids in life and science

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Braids in life and science

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Definition

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Definition

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How does one encode braids?

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Exercise

Solution

Page 10: Dr Fedor Duzhin Division of Mathematical Sciences

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Multiplication of braids

× =

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Multiplication of braids

= =

=

=

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Example

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Yang-Baxter equation

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Exercise

Solution

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Summary

Thanks for your attention!