You are cordially invited on our next Science and Research
Seminar given by Dr. Kristijan Tabak on the topic: "Group Theory and
Applications”
Seminar will be held on Friday, April 20th at 17:00 at VC
room in Zagreb and Dubrovnik.
In mathematics and abstract algebra, group theory studies
the algebraic structures known as groups. The concept of a group is central to
abstract algebra: other well-known algebraic structures, such as rings, fields,
and vector spaces, can all be seen as groups endowed with additional operations
and axioms.
Groups recur throughout mathematics, and the methods of
group theory have influenced many parts of algebra. Linear algebraic groups and
Lie groups are two branches of group theory that have experienced advances and
have become subject areas in their own right.
Various physical systems, such as crystals and the hydrogen
atom, may be modelled by symmetry groups. Thus group theory and the closely related
representation theory have many important applications in physics, chemistry,
and materials science. Group theory is also central to public key cryptography.
One of the most important mathematical achievements of the
20th century[1] was the collaborative effort, taking up more than 10,000
journal pages and mostly published between 1960 and 1980, that culminated in a
complete classification of finite simple groups.