По истечении недели мы расторгнем договор хранения.

По истечении is a formal expression meaning after the expiration of, after the lapse of, or more naturally in English, once ... has passed.

So по истечении недели means after a week has passed.

This is not the most everyday way to say it. It sounds official, legal, or administrative. In normal conversation, Russians would more often say something like:

• через неделю = in a week
• когда неделя закончится = when the week ends
• после недели = after a week, though this is less natural in many contexts

In legal or business language, though, по истечении is very common.

Because after по in this formal time expression, Russian uses the prepositional case.

The dictionary form is истечение.
Its prepositional singular is истечении.

So:

• истечение = nominative
• об истечении / по истечении = prepositional

This is part of a special formal pattern:

• по окончании = after the completion of
• по прибытии = after arrival
• по возвращении = after returning
• по истечении = after the expiration/lapse of

Because истечение governs the genitive.

The idea is:

• истечение чего? = the expiration/lapse of what?
• недели = of a week

So по истечении недели is literally something like upon the expiration of a week.

This is very common with verbal nouns in Russian: the noun is followed by another noun in the genitive to show what is being completed, ended, used up, etc.

Not exactly.

• через неделю means in a week from now
• по истечении недели means after the week has fully elapsed

In many situations they can point to the same time, but the nuance is different:

• через неделю is neutral and conversational
• по истечении недели emphasizes the completion of a defined period and sounds formal

In contracts, deadlines, and official notices, по истечении недели is often preferred because it sounds precise and legal.

Расторгнем is the 1st person plural future form of the perfective verb расторгнуть.

It means we will terminate / we will dissolve / we will cancel.

Russian uses the perfective future here because the sentence refers to a single completed action in the future: the contract will be terminated at that point.

So:

• расторгать = imperfective, process/repetition
• расторгнуть = perfective, one completed act
• расторгнем = we will terminate

A legal act like terminating a contract is usually viewed as a completed event, so the perfective is very natural.

The dictionary form is расторгнуть.

Russian verbs often change shape between the infinitive and the conjugated forms. So:

• infinitive: расторгнуть
• future: я расторгну, мы расторгнем

The -нуть part of the infinitive does not stay exactly the same in every form. This kind of stem change is normal in Russian verb conjugation.

So even though расторгнем may look a bit unexpected at first, it is the regular future form of расторгнуть.

Хранения is in the genitive because it modifies договор.

Literally, this is a structure like:

• договор чего?
• хранения

So grammatically, it means a contract of storage or a storage agreement.

This kind of noun + genitive pattern is extremely common in Russian:

• договор аренды = lease agreement
• договор купли-продажи = sale-purchase contract
• договор страхования = insurance contract
• договор хранения = storage contract

So хранения is not the object of the verb. It is part of the noun phrase договор хранения.

Yes, Russian could omit мы.

Because the verb form расторгнем already clearly means we will terminate, the subject is understood from the ending.

So both are possible:

• По истечении недели мы расторгнем договор хранения.
• По истечении недели расторгнем договор хранения.

Including мы can add clarity, emphasis, or a slightly more explicit tone. In formal written language, keeping мы is perfectly normal.

Russian word order is flexible, so this beginning position highlights the time condition first.

The sentence starts by setting the time frame:

After a week has passed, we will terminate the storage contract.

This is very natural in formal Russian, especially in legal or administrative writing, where timing and conditions are often placed first.

You could also say:

Мы расторгнем договор хранения по истечении недели.

That is also correct. The meaning stays the same, but the focus shifts slightly more toward the action itself.

Yes, very much so.

Several features make it sound formal/legal:

• по истечении is bookish and official
• расторгнуть договор is standard legal/business wording
• договор хранения is a technical legal term

A more everyday version might sound like:

• Через неделю мы отменим договор хранения.
• Когда неделя закончится, мы расторгнем договор.

But in a contract, notice, or official statement, the original sentence sounds natural and appropriate.

Sometimes, but not always.

Расторгнуть договор is the standard legal collocation for terminate a contract.

By contrast:

• отменить usually means cancel something
• аннулировать means annul / invalidate
• прекратить means stop / discontinue / terminate, depending on context

For contracts specifically, расторгнуть договор is usually the most precise and idiomatic choice.

So if you are talking about legal Russian, it is best to learn расторгнуть договор as a set phrase.